ADAPTIVE FINITE-ELEMENT METHODS FOR CONSERVATION-LAWS BASED ON A-POSTERIORI ERROR-ESTIMATES

被引：74

作者：

JOHNSON, C ^{[1
]}

SZEPESSY, A ^{[1
]}

机构：

[1] ROYAL INST TECHNOL,S-10044 STOCKHOLM,SWEDEN

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1995年 / 48卷 / 03期

关键词：

D O I：

10.1002/cpa.3160480302

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a posteriori error estimates for a finite element method for systems of strictly hyperbolic conservation laws in one space dimension, and design corresponding adaptive methods. The proof of the a posteriori error estimates is based on a strong stability estimate for an associated dual problem, together with the Galerkin orthogonality of the finite-element method. The strong stability estimate uses the entropy condition for the system in an essential way. (C) 1995 John Wiley & Sons, Inc.

引用

页码：199 / 234

页数：36

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