CONVERGENCE OF THE DISCONTINUOUS GALERKIN FINITE-ELEMENT METHOD FOR HYPERBOLIC CONSERVATION-LAWS

被引：84

作者：

JAFFRE, J

JOHNSON, C

SZEPESSY, A

机构：

[1] CHARLES UNIV,DEPT MATH,S-42196 GOTHENBURG,SWEDEN

[2] ROYAL INST TECHNOL,NADA,S-10044 STOCKHOLM,SWEDEN

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1995年 / 5卷 / 03期

关键词：

D O I：

10.1142/S021820259500022X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove convergence of the discontinuous Galerkin finite element method with polynomials of arbitrary degree q greater than or equal to 0 on general unstructured meshes for scalar conservation laws in multidimensions. We also prove for systems of conservation laws that limits of discontinuous Galerkin finite element solutions satisfy the entropy inequalities of the system related to convex entropies.

引用

页码：367 / 386

页数：20

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