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1 Discontinuous Galerkin Methods for Elliptic problems
http://umn.edu/~arnold/papers/dg.pdf
Abstract. We provide a common framework for the understanding, comparison, and analysis of several discontinuous Galerkin methods that have been proposed.
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2 The Compact Discontinuous Galerkin (CDG) Method for ...
http://persson.berkeley.edu/pub/peraire07cdg.pdf
We present a compact discontinuous Galerkin (CDG) method for an elliptic model problem. The problem is first cast as a system of first order equations by ...
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3 Discontinuous Galerkin Methods for Elliptic Problems
https://link.springer.com/chapter/10.1007/978-3-642-59721-3_5
We provide a common framework for the understanding, comparison, and analysis of several discontinuous Galerkin methods that have been proposed for the ...
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4 unified analysis of discontinuous galerkin methods for elliptic ...
https://www3.nd.edu/~zxu2/acms60790S14/unified-analy-dg-elliptic-eq.pdf
We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and ...
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5 The Hybrid Discontinuous Galerkin method for elliptic ... - arXiv
https://arxiv.org/abs/2201.03688
We propose a Hybridized Discontinuous Galerkin solution for the required Poisson Problem in each time step. The purpose, is to reduce the ...
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6 Discontinuous Galerkin Multiscale Methods for Elliptic Problems
https://www.diva-portal.org/smash/get/diva2:380441/FULLTEXT02
Discontinuous Galerkin Multiscale Methods for Elliptic. Problems. Daniel Elfverson. In this paper a continuous Galerkin multiscale method (CGMM) and a ...
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7 Unified Analysis of Discontinuous Galerkin Methods for Elliptic ...
https://epubs.siam.org/doi/10.1137/S0036142901384162
We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and ...
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8 A staggered discontinuous Galerkin method for elliptic ...
https://www.sciencedirect.com/science/article/pii/S0898122121002959
In this article, a staggered discontinuous Galerkin (SDG) approximation on rectangular meshes for elliptic problems in two dimensions is ...
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9 Discontinuous Galerkin methods for elliptic problems - LSEC
http://lsec.cc.ac.cn/lcfd/DEWENO/dg_elliptic.htm
Sherwin SJ, Kirby RM, Peiro J, et al.: On 2D elliptic discontinuous Galerkin methods, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 65 (5): 752-784 ...
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10 an analysis of the embedded discontinuous galerkin method ...
https://www.dam.brown.edu/people/jguzman/documents/gEmbedded.pdf
Key words. finite element methods, mixed methods, discontinuous Galerkin ... unifying analysis of DG methods for second-order elliptic problems in [1], ...
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11 discontinuous galerkin methods for quasi-linear - jstor
https://www.jstor.org/stable/40232922
any results on discontinuous Galerkin approximation of nonlinear elliptic problems. In [17], a one-parameter family of discontinuous Galerkin methods is ...
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12 On Discontinuous Galerkin Methods for Elliptic Problems with ...
https://www.degruyter.com/document/doi/10.2478/cmam-2003-0007/html
Discontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is ...
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13 Discontinuous Galerkin method - Wikipedia
https://en.wikipedia.org/wiki/Discontinuous_Galerkin_method
The origin of the DG method for elliptic problems cannot be traced back to a single publication as features such as jump penalization in the modern sense ...
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14 (PDF) The Compact Discontinuous Galerkin (CDG) Method for ...
https://www.researchgate.net/publication/51991978_The_Compact_Discontinuous_Galerkin_CDG_Method_for_Elliptic_Problems
We present a compact discontinuous Galerkin (CDG) method for an elliptic model problem. The problem is first cast as a system of first order ...
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15 Some nonstandard error analysis of discontinuous Galerkin ...
https://dl.acm.org/doi/10.1007/s10092-010-0022-9
An a priori error analysis of discontinuous Galerkin methods for a general elliptic problem is derived under a mild elliptic regularity assumption on the ...
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16 ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp ...
https://www.worldscientific.com/doi/abs/10.1142/S0218202507001826
Discontinuous Galerkin methods · a posteriori error estimation · hp-adaptivity · elliptic problems. AMSC: 65N30, 65N35, 65N50 ...
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17 Local discontinuous Galerkin methods for convection - ProQuest
https://search.proquest.com/openview/7872ab54e21925902857f4de3f75435a/1?pq-origsite=gscholar&cbl=18750&diss=y
Finally, we provide the first numerical comparison of the LDG method with the other discontinuous Galerkin methods developed for elliptic problems.
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18 A study on discontinuous Galerkin finite element methods for ...
https://www.semanticscholar.org/paper/A-study-on-discontinuous-Galerkin-finite-element-Sudirham-Vegt/b317efabfeab5c0645a1be09671f565f459084b9
An important aspect in these formulations of the discontinuous Galerkin finite element methods for elliptic problems is the use of a lifting operator, ...
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19 hp-Version composite discontinuous Galerkin methods for ...
https://nottingham-repository.worktribe.com/output/714815/hp-version-composite-discontinuous-galerkin-methods-for-elliptic-problems-on-complicated-domains
hp-Version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Antonietti, Paola F.; Giani, Stefano; Houston, Paul.
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20 Very high order discontinuous Galerkin method in elliptic ...
https://ui.adsabs.harvard.edu/abs/2018CompM..62....1J/abstract
The paper is illustrated with a set of benchmark examples of 1D and 2D for the elliptic problems. The example presents the great effectiveness of the method ...
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21 Analysis of the discontinuous Galerkin method for elliptic ...
https://academic.oup.com/imajna/article/33/3/952/659489
We extend the discontinuous Galerkin framework to a linear second-order elliptic problem on a compact smooth connected and oriented surface in ℝ3.
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22 superconvergent discontinuous galerkin methods for second ...
https://www.ams.org/mcom/2009-78-265/S0025-5718-08-02146-7/S0025-5718-08-02146-7.pdf
In this paper, we uncover a large class of discontinuous Galerkin (DG) methods for the following second-order elliptic problem: cq + ∇u = 0.
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23 A staggered discontinuous Galerkin ... - Kyung Hee University
https://khu.elsevierpure.com/en/publications/a-staggered-discontinuous-galerkin-method-for-elliptic-problems-o
In this article, a staggered discontinuous Galerkin (SDG) approximation on rectangular meshes for elliptic problems in two dimensions is constructed and ...
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24 A study on discontinuous Galerkin finite element methods for ...
https://research.utwente.nl/en/publications/a-study-on-discontinuous-galerkin-finite-element-methods-for-elli
In this report we study several approaches of the discontinuous Galerkin finite element methods for elliptic problems. An important aspect in these ...
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25 On the design of discontinuous Galerkin methods for ... - CORE
https://core.ac.uk/download/pdf/41768978.pdf
Keywords: Discontinuous Galerkin, elliptic problems, hybrid formulations, stabilized finite element methods. 1 Introduction.
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26 low order discontinuous galerkin methods for ... - CiteSeerX
https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=41cb33cd8875a1118b98c2dd554a01d3f1984873
Abstract. We consider DG-methods for 2nd order scalar elliptic problems using piecewise affine approximation in two or three space dimensions.
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27 NUMERICAL ANALYSIS OF A LOCALLY PROJECTED ...
https://www.proceedings.blucher.com.br/article-details/numerical-analysis-of-a-locally-projected-discontinuous-galerkin-method-for-elliptic-problems-9188
Discontinuous Galerkin methods for elliptic problems. In Discontinuous Galerkin methods (Newport, RI, 1999), volume 11 of Lect. Notes Comput. Sci.
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28 Local discontinuous Galerkin methods for elliptic problems
https://onlinelibrary.wiley.com/doi/pdf/10.1002/cnm.471
Over the last years, discontinuous Galerkin (DG) methods have been successfully applied to a variety of problems where convection phenomena play an ...
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29 Multiplicative Schwarz Methods for Discontinuous Galerkin ...
https://eudml.org/doc/250353
A discussion on the issue of preconditioning non-symmetric DG approximations of elliptic problems is also included. Extensive numerical experiments to confirm ...
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30 A hybridizable direct discontinuous Galerkin method ... - INFONA
https://www.infona.pl/resource/bwmeta1.element.springer-doi-10_1186-S13661-016-0700-X
The aim of this work is to develop a hybridizable discontinuous Galerkin method for elliptic problems. In the proposed method, the numerical flux functions ...
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31 Multiplicative Schwarz methods for discontinuous ... - Numdam
http://www.numdam.org/item/M2AN_2008__42_3_443_0/
A discussion on the issue of preconditioning non-symmetric DG approximations of elliptic problems is also included. Extensive numerical experiments to confirm ...
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32 hp-adaptive discontinuous Galerkin solver for elliptic ...
https://link.aps.org/doi/10.1103/PhysRevD.100.084052
A considerable amount of attention has been given to discontinuous Galerkin methods for hyperbolic problems in numerical relativity, ...
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33 A Multilevel Discontinuous Galerkin Method - PDXScholar
http://pdxscholar.library.pdx.edu/cgi/viewcontent.cgi?article=1073&context=mth_fac
Abstract. A variable V-cycle preconditioner for an interior penalty finite element discretization for elliptic problems is presented. An anal-.
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34 BDDC methods for discontinuous Galerkin discretization ... - WPI
https://users.wpi.edu/~msarkis/papers/DGS_07.pdf
Abstract. A discontinuous Galerkin (DG) discretization of Dirichlet problem for second-order elliptic equations with discontinuous coefficients in 2-D is ...
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35 A hybridizable direct discontinuous Galerkin method for elliptic ...
https://boundaryvalueproblems.springeropen.com/articles/10.1186/s13661-016-0700-x
The aim of this work is to develop a hybridizable discontinuous Galerkin method for elliptic problems. In the proposed method, the numerical ...
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36 AN ARBITRARY-ORDER ULTRA-WEAK DISCONTINUOUS ...
https://experts.nebraska.edu/en/publications/an-arbitrary-order-ultra-weak-discontinuous-galerkin-method-for-t
AN ARBITRARY-ORDER ULTRA-WEAK DISCONTINUOUS GALERKIN METHOD FOR TWO-DIMENSIONAL SEMILINEAR SECOND-ORDER ELLIPTIC PROBLEMS ON CARTESIAN GRIDS.
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37 Discontinuous Galerkin Finite Element approximations of ...
http://www1.mate.polimi.it/~forma/Didattica/ProgettiPacs/Vescovini16-17/Pacs_report.pdf
Galerkin (DG) finite element method for solving a three-dimensional elliptic problems employing a general polyhedral mesh. With this pur-.
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38 A hybridizable discontinuous Galerkin method for second ...
https://www.esaim-m2an.org/articles/m2an/abs/2022/02/m2an200209/m2an200209.html
In this paper, we investigate a hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac measures.
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39 An extended Galerkin analysis for elliptic problems - Penn State
https://pennstate.pure.elsevier.com/en/publications/an-extended-galerkin-analysis-for-elliptic-problems
As a result, many existing finite element and discontinuous Galerkin methods can be analyzed using this general framework by making appropriate choices of ...
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40 pointwise a posteriori error control for discontinuous galerkin ...
https://www.math.tamu.edu/~demlow/pubs/de_ge_2011.pdf
penalty discontinuous Galerkin method for a standard elliptic model problem on polyhedral domains is presented. The computational domain is not required to ...
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41 Symmetric dual-wind discontinuous Galerkin methods ... - UNCG
https://libres.uncg.edu/ir/uncg/listing.aspx?id=33276
A discontinuous Galerkin (DG) finite-element interior calculus is used as a common framework to describe various DG approximation methods for ...
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42 An adaptive composite discontinuous Galerkin method for ...
https://dro.dur.ac.uk/29297
An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. Giani, S. (2020) 'An adaptive ...
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43 The compact discontinuous Galerkin method for elliptic ...
http://wrap.warwick.ac.uk/43371/
Dedner, Andreas and Klöfkorn, Robert (2008) The compact discontinuous Galerkin method for elliptic problems. In: (FVCA5) 5th International Symposium on ...
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44 Discontinuous Galerkin Methods for Solving Elliptic and ...
https://www.amazon.com/Discontinuous-Galerkin-Elliptic-Parabolic-Equations/dp/089871656X
Computational examples and applications to important engineering problems are also included. Part I focuses on the application of DG methods to second order ...
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45 Discontinuous Galerkin methods for fractional elliptic problems
https://ouci.dntb.gov.ua/en/works/40XZ51Y4/
Aboelenen T (2018a) Local discontinuous Galerkin method for distributed-order time and space-fractional convection-diffusion and Schrödinger type equations.
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46 A discontinuous Galerkin reduced basis element method for ...
https://www.sciengine.com/doi/10.1051/m2an/2015045
We propose and analyse a new discontinuous reduced basis element method for the approximation of parametrized elliptic PDEs in partitioned domains. The method ...
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47 Local Discontinuous Galerkin Methods for High-Order Time ...
https://www.global-sci.org/v1/cicp/openaccess/v7_1.pdf
Discontinuous Galerkin (DG) methods are a class of finite element methods ... mostly for elliptic problems with even-order leading derivatives and without ...
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48 High-order Discontinuous Galerkin Method for Solving Elliptic ...
https://projecteuclid.org/journals/taiwanese-journal-of-mathematics/volume-20/issue-5/High-order-Discontinuous-Galerkin-Method-for-Solving-Elliptic-Interface-Problems/10.11650/tjm.20.2016.7612.full
In this study, we develop a high-order accurate discontinuous Galerkin scheme using curvilinear quadrilateral elements for solving elliptic interface ...
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49 DG Methods for Elliptic Equations - Andreas Klöckner
https://mathema.tician.de/dl/academic/talks/dg.pdf
Poisson's equation is the prime example of an elliptic equation, and its Dirichlet problem is what we will be treating here. Let Ω ⊂ Rn be a bounded, open, ...
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50 Discontinuous Galerkin derivative operators with applications ...
https://web.math.utk.edu/~swise/preprints/dwdg.pdf
approximation methods for second-order elliptic problems. Using the framework, symmetric interior-penalty methods, local discontinuous Galerkin methods, ...
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51 Symmetric Interior Penalty Galerkin Method for Elliptic Problems
https://www.mathematics.pitt.edu/sites/default/files/research-pdfs/0605.pdf
Another related discontinuous Galerkin method is the non-symmetric interior penalty Galerkin. (NIPG) method [17,12]: this method differs from the SIPG method by ...
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52 DISCONTINUOUS GALERKIN SPECTRAL ELEMENT ...
https://www.koreascience.or.kr/article/JAKO202106758758100.view?orgId=anpor&hide=breadcrumb,journalinfo
A new implicit discontinuous Galerkin spectral element method (DGSEM) based on the first order hyperbolic system(FOHS) is presented for solving elliptic type ...
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53 analysis of direct discontinuous Galerkin methods for multi ...
https://faculty.sites.iastate.edu/hliu/files/inline-files/Liu_NumMath_final.pdf
Convection-diffusion problems, elliptic problems, discontinuous Galerkin, global pro- jection, numerical flux. 1. Page 2. 2. HAILIANG LIU. [21, ...
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54 Penalty-Free Discontinuous Galerkin Methods for ...
https://scholarship.rice.edu/bitstream/handle/1911/102198/TR12-09.pdf?sequence=1&isAllowed=y
Abstract A first-order discontinuous Galerkin method is proposed for solv- ... sis for most of the DG methods applied to elliptic problems. Removing the.
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55 Discontinuous Galerkin methods for elliptic partial differential ...
https://www.tandfonline.com/doi/full/10.1080/00207160.2013.784280
The resulting parametrized elliptic problem is. We propose two numerical methods for solving Equations (4) and (5): the stochastic discontinuous Galerkin (SDG) ...
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56 An extended Galerkin analysis for elliptic problems - NSF PAR
https://par.nsf.gov/servlets/purl/10255445
As a result, many existing finite element and discontinuous Galerkin methods can be analyzed using this general framework by making appropriate choices of ...
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57 the compact discontinuous galerkin (cdg) method for elliptic ...
https://acdl.mit.edu/CDG_SIAM_UPDATED.pdf
is closely related to the local discontinuous Galerkin (LDG) method [B. ... Key words. discontinuous Galerkin methods, elliptic problems, mixed formulation.
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58 Unified analysis of discontinuous Galerkin approximations of ...
https://www.aimspress.com/article/10.3934/mine.2020017
We propose a unified formulation based on discontinuous Galerkin methods on ... (2016) Virtual element method for general second-order elliptic problems on ...
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59 Discontinuous Galerkin Methods For Solving Elliptic And ...
https://www.goodreads.com/book/show/9877178-discontinuous-galerkin-methods-for-solving-elliptic-and-parabolic-equati
Discontinuous Galerkin Methods For Solving Elliptic And Parabolic Equations book. Read reviews from world's largest community for readers. Discontinous G...
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60 On the design of discontinuous Galerkin methods ... - Scipedia
https://www.scipedia.com/public/Codina_Badia_2013a
This procedure is applied to four elliptic problems, namely, the convection–diffusion equation (in the diffusion dominated regime), the Stokes ...
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61 discontinuous galerkin method for monotone nonlinear elliptic ...
http://www.math.ualberta.ca/ijnam/Volume-9-2012/No-4-12/2012-04-13.pdf
Abstract. In this paper, we consider the incomplete interior penalty method for a class of second order monotone nonlinear elliptic problems ...
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62 Discontinuous Galerkin methods
https://mat1.uibk.ac.at/heiko/na18/Dodgson.pdf
'Discontinuous Galerkin' (DG) methods. These slides are based on ”Discontinuous Galerkin Methods for ... Elliptic problems in higher dimensions.
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63 12 Galerkin and Ritz Methods for Elliptic PDEs
http://www.math.iit.edu/~fass/478578_Chapter_12.pdf
12.1 Galerkin Method. We begin by introducing a generalization of the collocation method we saw earlier for two-point boundary value problems.
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64 Elliptic.pdf - Infoscience
https://infoscience.epfl.ch/record/103017/files/Elliptic.pdf
Discontinuous Galerkin; elliptic equation; Crouzeix-Raviart approximation; inte- ... For a review of discontinuous Galerkin methods for elliptic problems we ...
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65 Further Mathematics For Economic Analysis (2022)
https://m.pelicanhill.com/fulldisplay?dataid=30310&FileName=Further%20Mathematics%20For%20Economic%20Analysis.pdf
discontinuous Galerkin, hybrid high-order methods). ... elasticity, the Helmholtz problem, Maxwell's equations), eigenvalue problems for elliptic PDEs,.
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66 A two-field finite element formulation for elasticity coupled to ...
http://amp.turbo.fr/local-searching-02bj5CdjVmcpRWZj5WZpN2cuc3d39yL6MHc0/science/article/pii/0045782594901716
This formulation is applied to the numerical solution, via the finite element method, of initial boundary value problems arising in elasticity coupled to ...
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67 hp-Version Discontinuous Galerkin Methods on Polygonal and ...
https://books.google.com/books?id=fppADwAAQBAJ&pg=PA128&lpg=PA128&dq=discontinuous+galerkin+method+elliptic+problems&source=bl&ots=OAHRd8CTlx&sig=ACfU3U3YtIeFJT2JEwIZkibzyDzOTYxLIg&hl=en&sa=X&ved=2ahUKEwjQsrm9xc_7AhULhlwKHRG8DBQQ6AF6BQj0ARAD
Theory Methods Appl. 7(2), 123– 148 (2014) S. Giani, P. Houston, hp-Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated ...
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68 Adaptive Discontinuous Galerkin Methods for Non-linear ...
https://books.google.com/books?id=b_U0DAAAQBAJ&pg=PA103&lpg=PA103&dq=discontinuous+galerkin+method+elliptic+problems&source=bl&ots=Mx5jAktOJ3&sig=ACfU3U2yEz13lOMmtmCG1hiaHb6u2kSbmQ&hl=en&sa=X&ved=2ahUKEwjQsrm9xc_7AhULhlwKHRG8DBQQ6AF6BQj7ARAD
SIAM Journal on Numerical Analysis 33, 1106–1124 (1996) Dougles, J., Dupont, T.: Interior penalty procedures for elliptic and parabolic Galerkin methods.
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69 An Invitation to the Theory of the Hybridizable ...
https://books.google.com/books?id=uSmsDwAAQBAJ&pg=PA115&lpg=PA115&dq=discontinuous+galerkin+method+elliptic+problems&source=bl&ots=Ro5C5AxAgy&sig=ACfU3U3EOYO-D4sTn4KcJbFlkzD5jn3qDQ&hl=en&sa=X&ved=2ahUKEwjQsrm9xc_7AhULhlwKHRG8DBQQ6AF6BQj6ARAD
Arnold, D.N., Brezzi, F., Cockburn, B., Marini, L.D.: Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal.
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70 Polyhedral Methods in Geosciences - Page 220 - Google Books Result
https://books.google.com/books?id=GVMzEAAAQBAJ&pg=PA220&lpg=PA220&dq=discontinuous+galerkin+method+elliptic+problems&source=bl&ots=mTHy0yaXJs&sig=ACfU3U3_iHJlu9JLn4wPky0MKC0Yn0JvJQ&hl=en&sa=X&ved=2ahUKEwjQsrm9xc_7AhULhlwKHRG8DBQQ6AF6BQj8ARAD
P.F. Antonietti, S. Giani, P. Houston, hp-version composite discontinuous Galerkin methods for elliptic problems on complicated domains ...
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71 Frontiers in Numerical Analysis - Durham 2010
https://books.google.com/books?id=JByea8XlUIkC&pg=PA146&lpg=PA146&dq=discontinuous+galerkin+method+elliptic+problems&source=bl&ots=z5ywnaaa9e&sig=ACfU3U0bialq16uxDuvBBORcLew7l8QF1g&hl=en&sa=X&ved=2ahUKEwjQsrm9xc_7AhULhlwKHRG8DBQQ6AF6BQj3ARAD
Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems. SIAM J. Numer. Anal., 39:1343–1365, 2001.
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72 Discontinuous Galerkin Methods for Solving Elliptic and ...
https://books.google.com/books?id=GY4GtnDCaSQC&pg=PA150&lpg=PA150&dq=discontinuous+galerkin+method+elliptic+problems&source=bl&ots=ccd1XhyJQp&sig=ACfU3U2y4qIhp-TRxbRisHHJMpiZxnR2HQ&hl=en&sa=X&ved=2ahUKEwjQsrm9xc_7AhULhlwKHRG8DBQQ6AF6BQj5ARAD
Equation (8.20) corresponds to the DG method applied to an elliptic problem, and (8.21) is the DG method applied to a parabolic problem with convection.
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