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

被引：75

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

共 33 条

[1]

[Anonymous], COMPRESSIBLE FLUID F

[2] LOCAL ADAPTIVE MESH REFINEMENT FOR SHOCK HYDRODYNAMICS [J].

BERGER, MJ ;

COLELLA, P .

JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 82 (01) :64-84

[3]

ERIKSSON K, 1993, MATH COMPUT, V60, P167, DOI 10.1090/S0025-5718-1993-1149289-9

[4] ADAPTIVE FINITE-ELEMENT METHODS FOR PARABOLIC PROBLEMS .1. A LINEAR-MODEL PROBLEM [J].

ERIKSSON, K ;

JOHNSON, C .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (01) :43-77

[5]

ERIKSSON K, IN PRESS MATH COMP

[6] NONLINEAR ASYMPTOTIC STABILITY OF VISCOUS SHOCK PROFILES FOR CONSERVATION-LAWS [J].

GOODMAN, J .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 95 (04) :325-344

[7] VISCOUS LIMITS FOR PIECEWISE SMOOTH SOLUTIONS TO SYSTEMS OF CONSERVATION-LAWS [J].

GOODMAN, J ;

XIN, ZP .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1992, 121 (03) :235-265

[8]

GOODMAN J, 1991, VISCOUS PROFILES NUM, P66

[9] SPACE-TIME ORIENTED STREAMLINE DIFFUSION METHODS FOR NONLINEAR CONSERVATION-LAWS IN ONE-DIMENSION [J].

HANSBO, P .

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1994, 10 (03) :203-215

[10] THE CHARACTERISTIC STREAMLINE DIFFUSION METHOD FOR THE TIME-DEPENDENT INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

HANSBO, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 99 (2-3) :171-186

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