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Google Keyword Rankings for : boundary element method singularity
1
Singular boundary method - Wikipedia
https://en.wikipedia.org/wiki/Singular_boundary_method
In numerical analysis, the singular boundary method (SBM) belongs to a family of meshless boundary collocation techniques which include the method of ...
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https://en.wikipedia.org/wiki/Singular_boundary_method
In numerical analysis, the singular boundary method (SBM) belongs to a family of meshless boundary collocation techniques which include the method of ...
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2
Singular integrals and boundary elements - ScienceDirect.com
https://www.sciencedirect.com/science/article/pii/S0045782597002399#!
The aim of this paper is to give a view on mathematical singularities involved in the BEM formulations. The regularized integral representations (of the ...
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https://www.sciencedirect.com/science/article/pii/S0045782597002399#!
The aim of this paper is to give a view on mathematical singularities involved in the BEM formulations. The regularized integral representations (of the ...
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3
An efficient method for evaluating BEM singular integrals on ...
https://arxiv.org/abs/1306.0282
The polar coordinate transformation (PCT) method has been extensively used to treat various singular integrals in the boundary element method ( ...
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https://arxiv.org/abs/1306.0282
The polar coordinate transformation (PCT) method has been extensively used to treat various singular integrals in the boundary element method ( ...
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4
Boundary Element Methods for Singularity Problems in ...
https://www.researchgate.net/publication/225412951_Boundary_element_methods_for_singularity_problems_in_fracture_mechanics
The boundary element method is a numerical method that can be advantageously used for a wide range of engineering problems, including the stress ...
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https://www.researchgate.net/publication/225412951_Boundary_element_methods_for_singularity_problems_in_fracture_mechanics
The boundary element method is a numerical method that can be advantageously used for a wide range of engineering problems, including the stress ...
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5
Singularity and corner effects in a boundary element model for ...
https://aip.scitation.org/doi/abs/10.1063/1.340931
This method can be used to estimate correct values for the singular terms that can occur in the boundary integral equations. Two different representations of ...
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https://aip.scitation.org/doi/abs/10.1063/1.340931
This method can be used to estimate correct values for the singular terms that can occur in the boundary integral equations. Two different representations of ...
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6
The Boundary Element Method with Singular Shape Functions
https://link.springer.com/chapter/10.1007/978-94-011-2872-8_46
A class of singular potential problems using the boundary element algorithm with singular shape functions is investigated. In the proposed algorithm, ...
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https://link.springer.com/chapter/10.1007/978-94-011-2872-8_46
A class of singular potential problems using the boundary element algorithm with singular shape functions is investigated. In the proposed algorithm, ...
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7
Principles of Boundary Element Methods
https://perso.univ-rennes1.fr/martin.costabel/publis/Co_PrinciplesBEM.pdf
Boundary integral equations may be of the first kind, and the kernels are in general singular. If the singularities are not integrable, one has to regularize ...
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https://perso.univ-rennes1.fr/martin.costabel/publis/Co_PrinciplesBEM.pdf
Boundary integral equations may be of the first kind, and the kernels are in general singular. If the singularities are not integrable, one has to regularize ...
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8
Calculation of Nearly Singular Boundary Element Integrals in ...
https://techscience.com/CMES/v94n2/26985/pdf
that of the traditional methods. Keywords: nearly singular integrals; boundary element method; boundary face method; the exponential transformation.
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https://techscience.com/CMES/v94n2/26985/pdf
that of the traditional methods. Keywords: nearly singular integrals; boundary element method; boundary face method; the exponential transformation.
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9
Accurate numerical integration of singular boundary element ...
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.1620210203
Secondly, results from complete boundary element calculations based on point collocation have been compared with known analytical solutions to two problems; ...
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https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.1620210203
Secondly, results from complete boundary element calculations based on point collocation have been compared with known analytical solutions to two problems; ...
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10
Fast Singular Boundary Method: Mathematical ... - WIT Press
https://www.witpress.com/elibrary/wit-transactions-on-engineering-sciences/126/37316
The boundary element method (BEM) appears attractive to exterior problems, because the fundamental solutions satisfy the governing equation and Sommerfeld ...
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https://www.witpress.com/elibrary/wit-transactions-on-engineering-sciences/126/37316
The boundary element method (BEM) appears attractive to exterior problems, because the fundamental solutions satisfy the governing equation and Sommerfeld ...
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11
Variable Transformations for Nearly Singular Integrals in the ...
https://www.nii.ac.jp/TechReports/public_html/05-010E.pdf
The Boundary Element Method (BEM) or the Boundary Integral Equation (BIE) method is a convenient method for solving partial differential equations, ...
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https://www.nii.ac.jp/TechReports/public_html/05-010E.pdf
The Boundary Element Method (BEM) or the Boundary Integral Equation (BIE) method is a convenient method for solving partial differential equations, ...
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12
Weakly Singular Symmetric Galerkin Boundary Element ...
https://www.depts.ttu.edu/coe/CARES/pdf/SGBEM_Body_Force_20210822.pdf
In this study, weakly-singular SGBEM for fracture analysis of three-dimensional structures considering rotational inertia and gravitational forces are developed ...
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https://www.depts.ttu.edu/coe/CARES/pdf/SGBEM_Body_Force_20210822.pdf
In this study, weakly-singular SGBEM for fracture analysis of three-dimensional structures considering rotational inertia and gravitational forces are developed ...
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13
A BOUNDARY ELEMENT METHOD WITHOUT SINGULAR ...
http://gclx.xml-journal.net/en/article/id/4867
One of the defficult problem for boundary element method is to deal with the singularity of foundamental solution. In this paper, the singular foundamental ...
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http://gclx.xml-journal.net/en/article/id/4867
One of the defficult problem for boundary element method is to deal with the singularity of foundamental solution. In this paper, the singular foundamental ...
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14
Thermal stress singularity analysis for V-notches by natural ...
https://journals.scholarsportal.info/details/0307904x/v40i0019/8552_tssafvbnbem.xml&sub=all
The accuracy of thermal stresses at internal points by the conventional boundary element method becomes deteriorate when the points are approaching to the ...
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https://journals.scholarsportal.info/details/0307904x/v40i0019/8552_tssafvbnbem.xml&sub=all
The accuracy of thermal stresses at internal points by the conventional boundary element method becomes deteriorate when the points are approaching to the ...
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15
A Direct Method for Solving Singular Integrals in Three ... - MDPI
https://mdpi-res.com/d_attachment/mathematics/mathematics-10-00286/article_deploy/mathematics-10-00286-v2.pdf?version=1642674765
In the boundary element methods, the time domain boundary element method (TD-BEM, with TD for time domain) is considered to be the most natural.
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https://mdpi-res.com/d_attachment/mathematics/mathematics-10-00286/article_deploy/mathematics-10-00286-v2.pdf?version=1642674765
In the boundary element methods, the time domain boundary element method (TD-BEM, with TD for time domain) is considered to be the most natural.
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16
Quadrature Rules for Functions with a Mid-Point Logarithmic ...
https://www.scirp.org/journal/paperinformation.aspx?paperid=97142
Quadrature rules for evaluating singular integrals that typically occur in the boundary element method (BEM) for two-dimensional and axisymmetric ...
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https://www.scirp.org/journal/paperinformation.aspx?paperid=97142
Quadrature rules for evaluating singular integrals that typically occur in the boundary element method (BEM) for two-dimensional and axisymmetric ...
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17
Boundary element methods for earthquake modeling with
https://eartharxiv.org/repository/object/959/download/2150/
A lack of stress singularities enables earthquake cycle simulation on non-planar ... Galerkin boundary element method, we can "spread" the singularity over ...
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https://eartharxiv.org/repository/object/959/download/2150/
A lack of stress singularities enables earthquake cycle simulation on non-planar ... Galerkin boundary element method, we can "spread" the singularity over ...
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18
The Indirect Boundary Element Method
https://www.brown.edu/Departments/Engineering/Courses/EN224/bdryelem/bdryelem.html
It is generally very difficult to find exact solutions to boundary value problems in linear elasticity, and we often resort to numerical techniques to obtain ...
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https://www.brown.edu/Departments/Engineering/Courses/EN224/bdryelem/bdryelem.html
It is generally very difficult to find exact solutions to boundary value problems in linear elasticity, and we often resort to numerical techniques to obtain ...
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19
Singularity evaluation in boundary integral equations of ...
https://ieeexplore.ieee.org/document/1065427
The application of a minimum order Boundary Element Method to 3-D eddy current problems is examined. A simple mathematical treatment of the singular ...
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https://ieeexplore.ieee.org/document/1065427
The application of a minimum order Boundary Element Method to 3-D eddy current problems is examined. A simple mathematical treatment of the singular ...
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20
Numerical Quadratures for Singular and Hypersingular ...
https://epubs.siam.org/doi/10.1137/060666093
The work is motivated by the need to evaluate such integrals on boundary elements in potential problems and is a simplification of a previously published method ...
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https://epubs.siam.org/doi/10.1137/060666093
The work is motivated by the need to evaluate such integrals on boundary elements in potential problems and is a simplification of a previously published method ...
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21
A Direct Method for Solving Singular Integrals in Three ... - MDPI
https://www.mdpi.com/2227-7390/10/2/286/htm
Among numerical techniques, such as the finite element method (FEM) [4,5,6], the meshless method [7,8,9] and the boundary element method (BEM) [10,11,12,13,14, ...
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https://www.mdpi.com/2227-7390/10/2/286/htm
Among numerical techniques, such as the finite element method (FEM) [4,5,6], the meshless method [7,8,9] and the boundary element method (BEM) [10,11,12,13,14, ...
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22
Boundary Element Octahedral Fields in Volumes - People
https://people.csail.mit.edu/jsolomon/assets/frames.pdf
boundary element method (BEM), continuously assigning frames to points ... classification of octahedral field singularities is still underexplored.
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https://people.csail.mit.edu/jsolomon/assets/frames.pdf
boundary element method (BEM), continuously assigning frames to points ... classification of octahedral field singularities is still underexplored.
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23
Analytical Expressions for the Singularities Treatment in the ...
https://jacm.scu.ac.ir/article_16211.html
The Boundary Element Method (BEM) is one of the most used numerical methods to solve engineering problems. This method has several advantages over other domain ...
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https://jacm.scu.ac.ir/article_16211.html
The Boundary Element Method (BEM) is one of the most used numerical methods to solve engineering problems. This method has several advantages over other domain ...
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24
(Open Access) Thermal stress singularity analysis for V-notches by ...
https://typeset.io/papers/thermal-stress-singularity-analysis-for-v-notches-by-natural-1ok5d4t79t
Open Access | The accuracy of thermal stresses at internal points by the conventional boundary element method becomes deteriorate when the points are ...
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https://typeset.io/papers/thermal-stress-singularity-analysis-for-v-notches-by-natural-1ok5d4t79t
Open Access | The accuracy of thermal stresses at internal points by the conventional boundary element method becomes deteriorate when the points are ...
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25
Boundary Integral and Singularity Methods for Linearized ...
https://www.amazon.com/Integral-Methods-Cambridge-Applied-Mathematics/dp/0521406935
Book Description. The book presents a coherent introduction to boundary integral, boundary element, and singularity methods for steady and unsteady flow at zero ...
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https://www.amazon.com/Integral-Methods-Cambridge-Applied-Mathematics/dp/0521406935
Book Description. The book presents a coherent introduction to boundary integral, boundary element, and singularity methods for steady and unsteady flow at zero ...
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26
Engineering Analysis with Boundary Elements
http://users.cecs.anu.edu.au/~Qinghua.Qin/publications/pap334E-EABE.pdf
Boundary element method. Singular boundary method. Singularity and hyper singularity. Origin intensity factor. Three-dimensional Helmholtz equation.
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http://users.cecs.anu.edu.au/~Qinghua.Qin/publications/pap334E-EABE.pdf
Boundary element method. Singular boundary method. Singularity and hyper singularity. Origin intensity factor. Three-dimensional Helmholtz equation.
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27
SINGULAR INTEGRATION IN BOUNDARY ... - Biblioteka Nauki
https://bibliotekanauki.pl/articles/2070239.pdf
SINGULAR INTEGRATION IN BOUNDARY ELEMENT METHOD FOR. HELMHOLTZ EQUATION FORMULATED IN FREQUENCY DOMAIN. Tomasz Rymarczyk1,2, Jan Sikora1,2.
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https://bibliotekanauki.pl/articles/2070239.pdf
SINGULAR INTEGRATION IN BOUNDARY ELEMENT METHOD FOR. HELMHOLTZ EQUATION FORMULATED IN FREQUENCY DOMAIN. Tomasz Rymarczyk1,2, Jan Sikora1,2.
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28
Singularity cancellation method for time-domain boundary element ...
https://www.semanticscholar.org/paper/Singularity-cancellation-method-for-time-domain-of-Xie-Zhong/330c487635b1a0f8adeb58166160f9240f9bd46b
Semantic Scholar extracted view of "Singularity cancellation method for time-domain boundary element formulation of elastodynamics: A direct approach" by G.
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https://www.semanticscholar.org/paper/Singularity-cancellation-method-for-time-domain-of-Xie-Zhong/330c487635b1a0f8adeb58166160f9240f9bd46b
Semantic Scholar extracted view of "Singularity cancellation method for time-domain boundary element formulation of elastodynamics: A direct approach" by G.
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29
The Integration Of Functions With Singularities In Boundary ...
https://www.emerald.com/insight/content/doi/10.1108/eb051836/full/pdf
In boundary element method, we almost always have to integrate functions with singularities. The treatment of singularity is not particularly difficult for a ...
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https://www.emerald.com/insight/content/doi/10.1108/eb051836/full/pdf
In boundary element method, we almost always have to integrate functions with singularities. The treatment of singularity is not particularly difficult for a ...
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30
Boundary Element Method (BEM) and Method of Fundamental ...
https://digitalscholarship.unlv.edu/cgi/viewcontent.cgi?article=2262&context=thesesdissertations
2.3 Application of the fundamental solution with a singularity to Green's formula.………15. 2.4 Boundary element solution of a boundary value problem for the ...
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https://digitalscholarship.unlv.edu/cgi/viewcontent.cgi?article=2262&context=thesesdissertations
2.3 Application of the fundamental solution with a singularity to Green's formula.………15. 2.4 Boundary element solution of a boundary value problem for the ...
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31
A regular boundary element method for fluid flow
https://www.research.manchester.ac.uk/portal/files/36923610/FULL_TEXT.PDF
The Boundary Element Method is now well established as a valid ... equations obtained by moving the singularity outside the domain of the ...
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https://www.research.manchester.ac.uk/portal/files/36923610/FULL_TEXT.PDF
The Boundary Element Method is now well established as a valid ... equations obtained by moving the singularity outside the domain of the ...
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32
A Finite Element Method with Singularity Reconstruction for ...
https://www.esaim-m2an.org/articles/m2an/abs/2015/05/m2an141026/m2an141026.html
The reconstruction approach is very flexible in handling explicit singularity, and it is further extended to the case of a Neumann type boundary ...
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https://www.esaim-m2an.org/articles/m2an/abs/2015/05/m2an141026/m2an141026.html
The reconstruction approach is very flexible in handling explicit singularity, and it is further extended to the case of a Neumann type boundary ...
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33
Evaluation of multiple stress singularity orders of a V-notch by ...
https://www.academia.edu/20187554/Evaluation_of_multiple_stress_singularity_orders_of_a_V-notch_by_the_boundary_element_method
Hence the Stress singularity orders eigen-values, which are the singularity orders, can be obtained simultaneously by solving the eigen- Boundary element method ...
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https://www.academia.edu/20187554/Evaluation_of_multiple_stress_singularity_orders_of_a_V-notch_by_the_boundary_element_method
Hence the Stress singularity orders eigen-values, which are the singularity orders, can be obtained simultaneously by solving the eigen- Boundary element method ...
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34
Computing weakly singular and near-singular integrals in high ...
https://hal.archives-ouvertes.fr/hal-03518653/file/singint.pdf
Helmholtz equation, integral equations, boundary element method, singular integrals, near-singular integrals, Taylor series, homogeneous ...
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https://hal.archives-ouvertes.fr/hal-03518653/file/singint.pdf
Helmholtz equation, integral equations, boundary element method, singular integrals, near-singular integrals, Taylor series, homogeneous ...
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35
Mechanics of Materials and Structures
https://msp.org/jomms/2007/2-1/jomms-v2-n1-p08-s.pdf
Materials and Structures. BOUNDARY ELEMENT ANALYSIS OF THE STRESS FIELD AT. THE SINGULARITY LINES IN THREE-DIMENSIONAL BONDED. JOINTS UNDER THERMAL LOADING.
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https://msp.org/jomms/2007/2-1/jomms-v2-n1-p08-s.pdf
Materials and Structures. BOUNDARY ELEMENT ANALYSIS OF THE STRESS FIELD AT. THE SINGULARITY LINES IN THREE-DIMENSIONAL BONDED. JOINTS UNDER THERMAL LOADING.
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36
Green's functions and boundary element analysis for ...
https://nvlpubs.nist.gov/nistpubs/Legacy/SP/nistspecialpublication910.pdf
Green's Functions/Boundary Element Methods Consortium that encompasses these ... singularities arising in integral equations and give numerical examples of ...
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https://nvlpubs.nist.gov/nistpubs/Legacy/SP/nistspecialpublication910.pdf
Green's Functions/Boundary Element Methods Consortium that encompasses these ... singularities arising in integral equations and give numerical examples of ...
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37
Nearly Singular and Hypersingular Integrals in the Boundary ...
https://www.yijunliu.com/Publications/1995%20&%20Before/BEM15_NearSingularity_93.pdf
Thus, for the boundary element method to stay competitive with other numerical methods, even for problems with thin shapes and cuts which have ...
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https://www.yijunliu.com/Publications/1995%20&%20Before/BEM15_NearSingularity_93.pdf
Thus, for the boundary element method to stay competitive with other numerical methods, even for problems with thin shapes and cuts which have ...
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38
An improved exponential transformation for nearly singular ...
http://5acae.com/paper/2014/An%20improved%20exponential%20transformation%20for%20nearly%20singular%20boundary%20element%20integrals%20in%20elasticity%20problems.pdf
Keywords: nearly singular integrals; boundary element method; boundary face method; the exponential transformation. 1. introduction.
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http://5acae.com/paper/2014/An%20improved%20exponential%20transformation%20for%20nearly%20singular%20boundary%20element%20integrals%20in%20elasticity%20problems.pdf
Keywords: nearly singular integrals; boundary element method; boundary face method; the exponential transformation. 1. introduction.
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39
Variable singularity boundary element and its ... - Anil Kakodkar
https://www.anilkakodkar.in/kakodkar_pdf/journal_017.pdf
Two boundary elements have been proposed for simulation of variable order singularities in two dimensions. The first can model the variable order strain ...
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https://www.anilkakodkar.in/kakodkar_pdf/journal_017.pdf
Two boundary elements have been proposed for simulation of variable order singularities in two dimensions. The first can model the variable order strain ...
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40
Solving Laplacian problems with boundary singularities
http://www.mas.ucy.ac.cy/~xenophon/pubs/sfbim_php.pdf
We solve a Laplacian problem over an L-shaped domain using a singular function boundary integral method as well as the p/hp finite element method.
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http://www.mas.ucy.ac.cy/~xenophon/pubs/sfbim_php.pdf
We solve a Laplacian problem over an L-shaped domain using a singular function boundary integral method as well as the p/hp finite element method.
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41
A new algorithm for near-singular integration of 3D Boundary ...
http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-62302015000100009
The accuracy of the Boundary Element Method (BEM) is strongly dependent on an accurate evaluation of boundary integrals. For thin-walled structures, collocation ...
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http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-62302015000100009
The accuracy of the Boundary Element Method (BEM) is strongly dependent on an accurate evaluation of boundary integrals. For thin-walled structures, collocation ...
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42
Tutorial 1 - Boundary Element
https://www.boundaryelements.com/images/stories/openaccess/Primer1.pdf
The main objective of this primer is to make the boundary element method more usable, ... latter integral equation is higher (usually hyper singularity).
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https://www.boundaryelements.com/images/stories/openaccess/Primer1.pdf
The main objective of this primer is to make the boundary element method more usable, ... latter integral equation is higher (usually hyper singularity).
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43
Boundary Integral and Singularity Methods ... - Books-A-Million
https://www.booksamillion.com/p/Boundary-Integral-Singularity-Methods-Linearized/C-Pozrikidis/9780521405027?id=8583194936154
Boundary Integral and Singularity Methods for Linearized Viscous Flow | The aim of this book is to bring together classical and recent developments in the ...
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https://www.booksamillion.com/p/Boundary-Integral-Singularity-Methods-Linearized/C-Pozrikidis/9780521405027?id=8583194936154
Boundary Integral and Singularity Methods for Linearized Viscous Flow | The aim of this book is to bring together classical and recent developments in the ...
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44
Boundary Integral and Singularity Methods ... - Barnes & Noble
https://www.barnesandnoble.com/mobile/w/boundary-integral-and-singularity-methods-for-linearized-viscous-flow-c-pozrikidis/1100950162?ean=9780521405027
Boundary Integral and Singularity Methods for Linearized Viscous Flow ... numerical solution in the context of the boundary element method are introduced.
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https://www.barnesandnoble.com/mobile/w/boundary-integral-and-singularity-methods-for-linearized-viscous-flow-c-pozrikidis/1100950162?ean=9780521405027
Boundary Integral and Singularity Methods for Linearized Viscous Flow ... numerical solution in the context of the boundary element method are introduced.
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45
FULL NUMERICAL QUADRATURE IN GALERKIN ... - AMCA
https://amcaonline.org.ar/ojs/index.php/cmm/article/download/1380/1353
element methods. Abstract. When a Galerkin discretization of a boundary integral equation with a weakly singular kernel is performed over triangles, ...
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https://amcaonline.org.ar/ojs/index.php/cmm/article/download/1380/1353
element methods. Abstract. When a Galerkin discretization of a boundary integral equation with a weakly singular kernel is performed over triangles, ...
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46
Dual boundary element analysis of cracked plates - NASA/ADS
https://ui.adsabs.harvard.edu/abs/1992IJFr...55...17P/abstract
The paper describes formulation of the singularity subtraction technique (SST) in the dual boundary element method (DBEM), for analyzing, efficiently and ...
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https://ui.adsabs.harvard.edu/abs/1992IJFr...55...17P/abstract
The paper describes formulation of the singularity subtraction technique (SST) in the dual boundary element method (DBEM), for analyzing, efficiently and ...
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47
Isogeometric boundary element methods for three ... - CORE
https://core.ac.uk/download/pdf/42923420.pdf
Highlights. • We implement an isogeometric BEM routine for fracture by use of dual boundary integral equations. • We propose a singular integration scheme ...
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https://core.ac.uk/download/pdf/42923420.pdf
Highlights. • We implement an isogeometric BEM routine for fracture by use of dual boundary integral equations. • We propose a singular integration scheme ...
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48
A Regularized Singular Boundary Method for Inverse Cauchy ...
https://www.global-sci.com/intro/article_detail/auth/12722.html
tween the non-singular boundary element method (BEM) and the method of funda- mental solutions (MFS). The main idea is to fully inherit the dimensionality ...
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https://www.global-sci.com/intro/article_detail/auth/12722.html
tween the non-singular boundary element method (BEM) and the method of funda- mental solutions (MFS). The main idea is to fully inherit the dimensionality ...
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49
Condition numbers in the boundary element method
https://research.tue.nl/files/2475603/200810556.pdf
underlying boundary integral equations (BIEs), which form the basis of the BEM. If the BIE is singular, we may expect that its discrete ...
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https://research.tue.nl/files/2475603/200810556.pdf
underlying boundary integral equations (BIEs), which form the basis of the BEM. If the BIE is singular, we may expect that its discrete ...
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50
Helmholtz equation and non-singular boundary elements ...
https://iopscience.iop.org/article/10.1088/1572-9494/ac794a/meta
There is further a need for a numerical method that is accurate, reliable and takes into account radiation conditions at infinity. The classical boundary ...
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https://iopscience.iop.org/article/10.1088/1572-9494/ac794a/meta
There is further a need for a numerical method that is accurate, reliable and takes into account radiation conditions at infinity. The classical boundary ...
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51
Study on the Stress Singularity of Interface Crack by using ...
https://www.koreascience.or.kr/article/JAKO199915875824935.kr&sa=U
The boundary element method was used for studying singularities of an interface crack with contact zones. The iterative procedure is applied to estimate the ...
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https://www.koreascience.or.kr/article/JAKO199915875824935.kr&sa=U
The boundary element method was used for studying singularities of an interface crack with contact zones. The iterative procedure is applied to estimate the ...
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52
An Improved Formulation of Singular Boundary Method
https://global-sci.org/intro/article_detail/aamm/135.html
The key idea of the SBM is to introduce the concept of the origin intensity factor to isolate the singularity of fundamental solution so that the source points ...
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https://global-sci.org/intro/article_detail/aamm/135.html
The key idea of the SBM is to introduce the concept of the origin intensity factor to isolate the singularity of fundamental solution so that the source points ...
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53
Singularities in Finite Element Models: Dealing with Red Spots
https://www.comsol.com/blogs/singularities-in-finite-element-models-dealing-with-red-spots/
Constraints · Extend the model so that any singularity caused by the boundary condition is moved outside of the area of interest. · Use a softer ...
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https://www.comsol.com/blogs/singularities-in-finite-element-models-dealing-with-red-spots/
Constraints · Extend the model so that any singularity caused by the boundary condition is moved outside of the area of interest. · Use a softer ...
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54
Analytical evaluation of the BEM singular integrals for 3D ...
https://experts.arizona.edu/en/publications/analytical-evaluation-of-the-bem-singular-integrals-for-3d-laplac
It is well-known that singular integrals arise when the source point and field point are in the same element in boundary element method.
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https://experts.arizona.edu/en/publications/analytical-evaluation-of-the-bem-singular-integrals-for-3d-laplac
It is well-known that singular integrals arise when the source point and field point are in the same element in boundary element method.
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55
Boundary integral and singularity methods for ... - UNSW library
https://primoa.library.unsw.edu.au/primo-explore/fulldisplay/dedupmrg2284839/UNSWS
... boundary elements -- --Computer implementations -- Singularity method -- --Singularities of Stokes flow -- --Singularity representations.
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https://primoa.library.unsw.edu.au/primo-explore/fulldisplay/dedupmrg2284839/UNSWS
... boundary elements -- --Computer implementations -- Singularity method -- --Singularities of Stokes flow -- --Singularity representations.
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56
Engineering Analysis with Boundary Elements - UPCommons
https://upcommons.upc.edu/bitstream/handle/2117/372521/1-s2.0-S0955799722002144-main.pdf?sequence=1
2.5D singular boundary method. 2.5D method of fundamental solutions. 2.5D boundary element method. Acoustic radiation and scattering.
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https://upcommons.upc.edu/bitstream/handle/2117/372521/1-s2.0-S0955799722002144-main.pdf?sequence=1
2.5D singular boundary method. 2.5D method of fundamental solutions. 2.5D boundary element method. Acoustic radiation and scattering.
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57
Introduction to the Boundary Element Method (BEM) - FreeFEM
https://doc.freefem.org/documentation/BEM.html
Plus, the choice of the quadrature formulas has to be made with extra care because of the singularity of \(\mathcal{G}\). Boundary Integral Operators. In order ...
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https://doc.freefem.org/documentation/BEM.html
Plus, the choice of the quadrature formulas has to be made with extra care because of the singularity of \(\mathcal{G}\). Boundary Integral Operators. In order ...
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58
A singular element for three-dimensional fracture mechanics ...
https://personal.us.es/mpariza/img/pdf_revistas_indexadas/1.pdf
element. Shape functions with a 1/,r singularity at the crack front are used to represent the tractions. ... recently the Boundary Element Method (BEM) have.
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https://personal.us.es/mpariza/img/pdf_revistas_indexadas/1.pdf
element. Shape functions with a 1/,r singularity at the crack front are used to represent the tractions. ... recently the Boundary Element Method (BEM) have.
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59
Using the Boundary Element Method for Prediction of Sound ...
https://scholarworks.wmich.edu/cgi/viewcontent.cgi?article=2434&context=masters_theses
The Boundary Element Method can be used to predict sound pressure levels ... transformations that reduced the order of the GHIE singularity.
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https://scholarworks.wmich.edu/cgi/viewcontent.cgi?article=2434&context=masters_theses
The Boundary Element Method can be used to predict sound pressure levels ... transformations that reduced the order of the GHIE singularity.
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60
Boundary Element Method - Chair of Structural Mechanics
https://www.cee.ed.tum.de/en/bm/teaching/master-lectures/boundary-element-method/
This lecture enables the students to understand the basic approach using the boundary element method. They will know about the arising difficulties and the ...
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https://www.cee.ed.tum.de/en/bm/teaching/master-lectures/boundary-element-method/
This lecture enables the students to understand the basic approach using the boundary element method. They will know about the arising difficulties and the ...
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61
Errors in FEA and Understanding Singularities - SimScale
https://www.simscale.com/blog/errors-in-fea-and-singularities/
Furthermore, it must be kept in mind that the finite element method, in addition to the other numerical methods (FVM, FDM, BEM) consists of ...
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https://www.simscale.com/blog/errors-in-fea-and-singularities/
Furthermore, it must be kept in mind that the finite element method, in addition to the other numerical methods (FVM, FDM, BEM) consists of ...
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62
A Short Course on Boundary Element Methods - SCI @ Utah
http://www.sci.utah.edu/~macleod/links/bem-shortcourse.pdf
3.2.1 Direct integral equations by the method of weighted residuals . . . 57. 3.2.2 Indirect integral formulations: the singularity method .
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http://www.sci.utah.edu/~macleod/links/bem-shortcourse.pdf
3.2.1 Direct integral equations by the method of weighted residuals . . . 57. 3.2.2 Indirect integral formulations: the singularity method .
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63
A technique to remove second order singularity application in ...
http://eprints.utm.my/id/eprint/37063/
This paper presents a technique to establish the strain incremental formulation in the boundary element method applied to elastoplasticity ...
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http://eprints.utm.my/id/eprint/37063/
This paper presents a technique to establish the strain incremental formulation in the boundary element method applied to elastoplasticity ...
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64
Virtual experiments and designs of composites with the ...
https://academiccommons.columbia.edu/doi/10.7916/d8-f3ve-1p35
Through the combination of conventional boundary element method (BEM) and the Eshelby's equivalent inclusion method (EIM), the local field is ...
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https://academiccommons.columbia.edu/doi/10.7916/d8-f3ve-1p35
Through the combination of conventional boundary element method (BEM) and the Eshelby's equivalent inclusion method (EIM), the local field is ...
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65
Holdings: Boundary integral and singularity methods for linearized ...
https://lib-cat.trin.cam.ac.uk/Record/d6ad5c18-10ad-4d37-b613-945952f6718d
Subjects: Boundary element methods. Viscous flow > Mathematics. Physical Description: xi,259 p. ; 24 cm. ISBN(s):, 0521405025.
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https://lib-cat.trin.cam.ac.uk/Record/d6ad5c18-10ad-4d37-b613-945952f6718d
Subjects: Boundary element methods. Viscous flow > Mathematics. Physical Description: xi,259 p. ; 24 cm. ISBN(s):, 0521405025.
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66
Isogeometric boundary element methods and patch tests for ...
https://par.nsf.gov/servlets/purl/10202935
Collocation BEMs involving the hyper-singular integral equations can be beneficial for other classes of problems, such as acoustic scattering [ ...
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https://par.nsf.gov/servlets/purl/10202935
Collocation BEMs involving the hyper-singular integral equations can be beneficial for other classes of problems, such as acoustic scattering [ ...
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67
Avoiding singularities in FEA boundary conditions
https://www.3dcadworld.com/avoiding-singularities-in-fea-boundary-conditions/
Singularities in Finite Element Analysis (FEA) can cause real issues, even for an apparently simple structural analysis.
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https://www.3dcadworld.com/avoiding-singularities-in-fea-boundary-conditions/
Singularities in Finite Element Analysis (FEA) can cause real issues, even for an apparently simple structural analysis.
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68
Quadrature Rules for Functions with a Mid-point Logarithmic ...
http://clok.uclan.ac.uk/28143/
Quadrature Rules for Functions with a Mid-point Logarithmic Singularity in the Boundary Element Method based on the x=tp Substitution.
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http://clok.uclan.ac.uk/28143/
Quadrature Rules for Functions with a Mid-point Logarithmic Singularity in the Boundary Element Method based on the x=tp Substitution.
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69
Boundary Element Analysis: Theory & Programming - Ole Miss
https://olemiss.edu/sciencenet/benet/newbook.html
in solid mechanics the superiority of the scaled boundary finite element method manifests itself overwhelmingly in two types of analyses: in the presence of ...
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https://olemiss.edu/sciencenet/benet/newbook.html
in solid mechanics the superiority of the scaled boundary finite element method manifests itself overwhelmingly in two types of analyses: in the presence of ...
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70
Thermal stress singularity analysis for V-notches by natural ...
https://kd.nsfc.gov.cn/paperDownload/ZD2681373.pdf
singular integrals will occur in the thermal stress boundary integral equation because the ... boundary in the conventional boundary element method, ...
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https://kd.nsfc.gov.cn/paperDownload/ZD2681373.pdf
singular integrals will occur in the thermal stress boundary integral equation because the ... boundary in the conventional boundary element method, ...
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71
9780521406932: Boundary Integral and Singularity Methods ...
https://www.abebooks.com/9780521406932/Boundary-Integral-Singularity-Methods-Linearized-0521406935/plp
AbeBooks.com: Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge Texts in Applied Mathematics, Series Number 8) ...
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https://www.abebooks.com/9780521406932/Boundary-Integral-Singularity-Methods-Linearized-0521406935/plp
AbeBooks.com: Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge Texts in Applied Mathematics, Series Number 8) ...
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72
Boundary Integral and Singularity Methods for ... - Google Books
https://books.google.com/books/about/Boundary_Integral_and_Singularity_Method.html?id=qXt5bOqDEgQC
Boundary Integral and Singularity Methods for Linearized Viscous Flow ... The aim of this book is to bring together classical and recent ...
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https://books.google.com/books/about/Boundary_Integral_and_Singularity_Method.html?id=qXt5bOqDEgQC
Boundary Integral and Singularity Methods for Linearized Viscous Flow ... The aim of this book is to bring together classical and recent ...
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73
The dual boundary element method: Effective implementation ...
http://msvlab.hre.ntou.edu.tw/cite/DualBEM_Crack_Aliabadi_IJNME_1992.pdf
boundary element method, for linear elastic crack problems. ... singularities into the boundary integrals, see Sladek et al.
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http://msvlab.hre.ntou.edu.tw/cite/DualBEM_Crack_Aliabadi_IJNME_1992.pdf
boundary element method, for linear elastic crack problems. ... singularities into the boundary integrals, see Sladek et al.
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74
Adaptive Integration Method Based on Sub-Division ...
https://journals.sagepub.com/doi/pdf/10.1260/0263-0923.33.1.27
Adaptive Integration Method Based on. Sub-Division Technique for Nearly Singular. Integrals in Near-Field Acoustics Boundary. Element Analysis.
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https://journals.sagepub.com/doi/pdf/10.1260/0263-0923.33.1.27
Adaptive Integration Method Based on. Sub-Division Technique for Nearly Singular. Integrals in Near-Field Acoustics Boundary. Element Analysis.
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75
Weighted Finite-Element Method for Elasticity Problems with ...
https://www.intechopen.com/chapters/58459
The singularity of the solution to a boundary value problem can be caused by the degeneration of the input data (of the coefficients and right-hand sides of the ...
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https://www.intechopen.com/chapters/58459
The singularity of the solution to a boundary value problem can be caused by the degeneration of the input data (of the coefficients and right-hand sides of the ...
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76
On stable, complete and singularity-free boundary integral ...
https://web.ma.utexas.edu/users/og/PUBLICATIONS/paper_StokesBIE.pdf
a simple and viable alternative to specialized methods required by classic formula- tions. Classic boundary integral formulations of the Stokes equations ...
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https://web.ma.utexas.edu/users/og/PUBLICATIONS/paper_StokesBIE.pdf
a simple and viable alternative to specialized methods required by classic formula- tions. Classic boundary integral formulations of the Stokes equations ...
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77
Quadrature — The BEM++ Project - bempp.org
http://www.bempp.org/quadrature.html
The default singular quadrature order in BEM++ is 6. Hence, the total number of kernel evaluations for an element pair is 512 in the case of adjacent vertices, ...
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http://www.bempp.org/quadrature.html
The default singular quadrature order in BEM++ is 6. Hence, the total number of kernel evaluations for an element pair is 512 in the case of adjacent vertices, ...
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78
A BEM method for Electromagnetics in complex 3D geometries
https://ftp.lstc.com/anonymous/outgoing/inaki/docs/pdf_em/preprint_bemMrm38.pdf
singularities arising in the computation of the self and neighbor matrix ... Keywords: eddy current, finite element method, boundary element method, Nedelec.
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https://ftp.lstc.com/anonymous/outgoing/inaki/docs/pdf_em/preprint_bemMrm38.pdf
singularities arising in the computation of the self and neighbor matrix ... Keywords: eddy current, finite element method, boundary element method, Nedelec.
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79
Regularized singular boundary method for groundwater flow ...
https://www.matec-conferences.org/articles/matecconf/pdf/2018/55/matecconf_rsp2018_03025.pdf
elements and the evaluation of improper singular integrals, that arise due to fundamental solution singularity. Therefore, boundary meshless methods.
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https://www.matec-conferences.org/articles/matecconf/pdf/2018/55/matecconf_rsp2018_03025.pdf
elements and the evaluation of improper singular integrals, that arise due to fundamental solution singularity. Therefore, boundary meshless methods.
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80
Journal of Thermal Stresses - Taylor & Francis Online
https://www.tandfonline.com/doi/abs/10.1080/01495730306345
This method uses the solution that satisfies boundary conditions at the interface. Analytical treatment of the singular integral along the ...
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https://www.tandfonline.com/doi/abs/10.1080/01495730306345
This method uses the solution that satisfies boundary conditions at the interface. Analytical treatment of the singular integral along the ...
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81
《Chinese Journal of Computational Physics》2017年05期
https://en.cnki.com.cn/Article_en/CJFDTotal-JSWL201705011.htm
Analysis of Nearly Singular Integral Problem in 3D Acoustic Field Boundary Element Method. SUN Rui;HU Zongjun;NIU Zhongrong;School of Civil Engineering ...
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https://en.cnki.com.cn/Article_en/CJFDTotal-JSWL201705011.htm
Analysis of Nearly Singular Integral Problem in 3D Acoustic Field Boundary Element Method. SUN Rui;HU Zongjun;NIU Zhongrong;School of Civil Engineering ...
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82
A two-dimensional isogeometric boundary element method for ...
https://orbilu.uni.lu/bitstream/10993/17098/1/dual_igabem5-space.pdf
of the BEM in capturing the stress concentration or singularity is higher in comparison with domain integration methods like the finite element method ...
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https://orbilu.uni.lu/bitstream/10993/17098/1/dual_igabem5-space.pdf
of the BEM in capturing the stress concentration or singularity is higher in comparison with domain integration methods like the finite element method ...
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83
Regularization Techniques Applied to Boundary Element ...
https://asmedigitalcollection.asme.org/appliedmechanicsreviews/article/47/10/457/401205/Regularization-Techniques-Applied-to-Boundary
These formulations may be singular owing to the use of two-point singular fundamental solutions. When the physical interpretation is irrelevant for this topic ...
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https://asmedigitalcollection.asme.org/appliedmechanicsreviews/article/47/10/457/401205/Regularization-Techniques-Applied-to-Boundary
These formulations may be singular owing to the use of two-point singular fundamental solutions. When the physical interpretation is irrelevant for this topic ...
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84
A Posteriori Error Estimates for Boundary Element Methods
https://www.jstor.org/stable/2153435
Key words. adaptive boundary element method, a posteriori error estimate ... mesh generation with model examples having solutions with singularities known ...
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https://www.jstor.org/stable/2153435
Key words. adaptive boundary element method, a posteriori error estimate ... mesh generation with model examples having solutions with singularities known ...
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85
The finite element method for a boundary value problem with ...
https://dl.acm.org/doi/abs/10.1016/j.cam.2010.01.020
We construct a finite element method with a basis containing singular functions. The rate of convergence of the approximate solution to the R"@n-generalized ...
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https://dl.acm.org/doi/abs/10.1016/j.cam.2010.01.020
We construct a finite element method with a basis containing singular functions. The rate of convergence of the approximate solution to the R"@n-generalized ...
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86
Matrix construction: Singular integral contributions - D-MATH
https://www2.math.ethz.ch/education/bachelor/seminars/hs2010/wave/haug
Seminar Boundary Element Methods for Wave Scattering. Sophie Haug. ETH Zurich ... For integrals with a strong singularity: interpret it as a CPV-integral.
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https://www2.math.ethz.ch/education/bachelor/seminars/hs2010/wave/haug
Seminar Boundary Element Methods for Wave Scattering. Sophie Haug. ETH Zurich ... For integrals with a strong singularity: interpret it as a CPV-integral.
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87
SINGULAR INTEGRATION IN BOUNDARY ELEMENT ...
https://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-4305faaf-bbee-49cb-b6a2-5dddb63eeb62/c/Rymarczyk_Singular_4_21.pdf
SINGULAR INTEGRATION IN BOUNDARY ELEMENT METHOD FOR. HELMHOLTZ EQUATION FORMULATED IN FREQUENCY DOMAIN. Tomasz Rymarczyk1,2, Jan Sikora1,2.
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https://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-4305faaf-bbee-49cb-b6a2-5dddb63eeb62/c/Rymarczyk_Singular_4_21.pdf
SINGULAR INTEGRATION IN BOUNDARY ELEMENT METHOD FOR. HELMHOLTZ EQUATION FORMULATED IN FREQUENCY DOMAIN. Tomasz Rymarczyk1,2, Jan Sikora1,2.
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88
Singular boundary method - Wikiwand
https://www.wikiwand.com/en/Singular_boundary_method
This family of strong-form collocation methods is designed to avoid singular numerical integration and mesh generation in the traditional boundary element ...
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https://www.wikiwand.com/en/Singular_boundary_method
This family of strong-form collocation methods is designed to avoid singular numerical integration and mesh generation in the traditional boundary element ...
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89
boundary element methods for mine design - Spiral
https://spiral.imperial.ac.uk/bitstream/10044/1/23177/2/Brady-BHG-1979-PhD-Thesis.pdf
BOUNDARY ELEMENT METHOD FOR NARROW. EXCAVATIONS AND COMPLETE PLANE STRAIN. 5.1 Objectives and scope of work. 105. 5.2 Development of singularities.
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https://spiral.imperial.ac.uk/bitstream/10044/1/23177/2/Brady-BHG-1979-PhD-Thesis.pdf
BOUNDARY ELEMENT METHOD FOR NARROW. EXCAVATIONS AND COMPLETE PLANE STRAIN. 5.1 Objectives and scope of work. 105. 5.2 Development of singularities.
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90
Analysis of heat flux singularity at 2D notch tip by ... - scanR
https://scanr.enseignementsup-recherche.gouv.fr/publication/doi10.1016%25252fj.enganabound.2014.04.024
In this paper, the singularity analysis method coupled with the boundary element technique is proposed for the accurate analysis of two- ...
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https://scanr.enseignementsup-recherche.gouv.fr/publication/doi10.1016%25252fj.enganabound.2014.04.024
In this paper, the singularity analysis method coupled with the boundary element technique is proposed for the accurate analysis of two- ...
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91
Potential Flows] Boundary Element Method (BEM)- Principle
https://www.youtube.com/watch?v=MHBsdTt9bCQ
Science of Fluids
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https://www.youtube.com/watch?v=MHBsdTt9bCQ
Science of Fluids
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92
Near singularity cancellation in weakly singular integrals of ...
https://www.x-mol.com/paper/1270502304046936064
This paper focuses on near singularity in weakly singular integrals of three-dimensional boundary element method. In traditional methods ...
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https://www.x-mol.com/paper/1270502304046936064
This paper focuses on near singularity in weakly singular integrals of three-dimensional boundary element method. In traditional methods ...
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93
The Singular Function Boundary Integral Method for the 2-D ...
https://www.sciencepublishinggroup.com/journal/paperinfo?journalid=141&doi=10.11648/j.pamj.20160506.14
The method is also extended in the case of a typical problem of Solid Mechanics, concerning the Laplace equation problem in three dimensions, ...
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https://www.sciencepublishinggroup.com/journal/paperinfo?journalid=141&doi=10.11648/j.pamj.20160506.14
The method is also extended in the case of a typical problem of Solid Mechanics, concerning the Laplace equation problem in three dimensions, ...
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94
A boundary element model for diffraction of water waves on ...
https://www.osti.gov/etdeweb/servlets/purl/655590
The reason why the boundary element method has not been regarded ... The integral equation has thus at most a weak singularity. The sym.
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https://www.osti.gov/etdeweb/servlets/purl/655590
The reason why the boundary element method has not been regarded ... The integral equation has thus at most a weak singularity. The sym.
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