Improved error estimates of hybridizable interior penalty methods using a variable penalty for highly anisotropic diffusion problems[Formula presented]

被引：0

作者：

Etangsale, Grégory ^{[1
]}

Fahs, Marwan ^{[2
]}

Fontaine, Vincent ^{[1
]}

Rajaonison, Nalitiana ^{[1
]}

机构：

[1] Department of Building and Environmental Sciences, University of La Réunion, South Campus, France

[2] Institut Terre et Environnement de Strasbourg, Université de Strasbourg, CNRS, ENGEES, UMR 7063, Strasbourg, France

来源：

Computers and Mathematics with Applications | 2022年 / 119卷

关键词：

Compendex;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Galerkin methods

引用

页码：89 / 99

共 24 条

[1] Improved error estimates of hybridizable interior penalty methods using a variable for diffusion problems
Etangsale, Gregory
Fahs, Marwan
Fontaine, Vincent
Rajaonison, Nalitiana
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 119 : 89 - 99
[2] Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems
Fabien, Maurice S.
Knepley, Matthew G.
Riviere, Beatrice M.
[J]. JOURNAL OF NUMERICAL MATHEMATICS, 2020, 28 (03) : 161 - 174
[3] Weighted error estimates of the continuous interior penalty method for singularly perturbed problems
Burman, Erik
Guzman, Johnny
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[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2009, 29 (02) : 284 - 314
[4] A posteriori error estimates for continuous interior penalty Galerkin approximation of transient convection diffusion optimal control problems
Zhou, Zhaojie
Fu, Hongfei
[J]. BOUNDARY VALUE PROBLEMS, 2014, : 1 - 19
[5] A posteriori error estimates for continuous interior penalty Galerkin approximation of transient convection diffusion optimal control problems
Zhaojie Zhou
Hongfei Fu
[J]. Boundary Value Problems, 2014
[6] POINTWISE ERROR ESTIMATES FOR C0 INTERIOR PENALTY APPROXIMATION OF BIHARMONIC PROBLEMS
Leykekhman, D.
[J]. MATHEMATICS OF COMPUTATION, 2021, 90 (327) : 41 - 63
[7] Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I
Béatrice Rivière
Mary F. Wheeler
Vivette Girault
[J]. Computational Geosciences, 1999, 3 : 337 - 360
[8] Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems.: Part I
Rivière, B
Wheeler, MF
Girault, V
[J]. COMPUTATIONAL GEOSCIENCES, 1999, 3 (3-4) : 337 - 360
[9] A posteriori energy-norm error estimates for advection-diffusion equations approximated by weighted interior penalty methods
Ern, Alexandre
Stephansen, Annette F.
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 26 (04) : 488 - 510
[10] A POSTERIORI ENERGY-NORM ERROR ESTIMATES FOR ADVECTION-DIFFUSION EQUATIONS APPROXIMATED BY WEIGHTED INTERIOR PENALTY METHODS
Alexandre Ern
AnnetteF.Stephansen
[J]. Journal of Computational Mathematics, 2008, 26 (04) : 488 - 510

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