The Discontinuous Galerkin Method for Two-dimensional Hyperbolic Problems Part II: A Posteriori Error Estimation

被引：0
作者：
Slimane Adjerid
Mahboub Baccouch
机构：
[1] Virginia Polytechnic Institute and State University,Department of Mathematics
来源：
Journal of Scientific Computing | 2009年 / 38卷
关键词：
Discontinuous Galerkin method; Hyperbolic problems; Superconvergence; error estimation;
D O I：
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学科分类号：
摘要：
In this manuscript we construct simple, efficient and asymptotically correct a posteriori error estimates for discontinuous finite element solutions of scalar first-order hyperbolic partial differential problems on triangular meshes. We explicitly write the basis functions for the error spaces corresponding to several finite element spaces. The leading term of the discretization error on each triangle is estimated by solving a local problem. We also show global superconvergence for discontinuous solutions on triangular meshes. The a posteriori error estimates are tested on several linear and nonlinear problems to show their efficiency and accuracy under mesh refinement for smooth and discontinuous solutions.
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页码：15 / 49
页数：34
相关论文
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