A POSTERIORI ERROR-ESTIMATES BASED ON HIERARCHICAL BASES

被引：194

作者：

BANK, RE ^{[1
]}

SMITH, RK ^{[1
]}

机构：

[1] AT&T BELL LABS,MURRAY HILL,NJ 07974

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1993年 / 30卷 / 04期

关键词：

FINITE ELEMENT METHODS; ADAPTIVE MESH REFINEMENT; A POSTERIORI ERROR ESTIMATES; HIERARCHICAL BASIS;

D O I：

10.1137/0730048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors present an analysis of an a posteriori error estimator based on the use of hierarchical basis functions. The authors analyze nonlinear, nonselfadjoint, and indefinite problems as well as the selfadjoint, positive-definite case. Because both the analysis and the estimator itself are quite simple, it is easy to see how various approximations affect the quality of the estimator. As examples, the authors apply the theory to some scalar elliptic equations and the Stokes system of equations.

引用

页码：921 / 935

页数：15

共 22 条

[1] Arnold D., 1984, CALCOLO, V21, P337, DOI 10.1007/bf02576171
[2] ERROR ESTIMATES FOR ADAPTIVE FINITE-ELEMENT COMPUTATIONS
BABUSKA, I
RHEINBOLDT, WC
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1978, 15 (04) : 736 - 754
[3] A-POSTERIORI ERROR ESTIMATES FOR FINITE-ELEMENT METHOD
BABUSKA, I
RHEINBOLDT, WC
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1978, 12 (10) : 1597 - 1615
[4] BABUSKA I, 1985, BASIC PRINCIPLES FEE
[5] Babuska I., 1972, MATH FDN FINITE ELEM, P1
[6] BABUSKA I, 1986, ACCURACY ESTIMATES A
[7] THE HIERARCHICAL BASIS MULTIGRID METHOD
BANK, RE
DUPONT, TF
YSERENTANT, H
[J]. NUMERISCHE MATHEMATIK, 1988, 52 (04) : 427 - 458
[8] BANK RE, 1985, MATH COMPUT, V44, P283, DOI 10.1090/S0025-5718-1985-0777265-X
[9] BANK RE, 1990, SOFTWARE PACKAGE SOL
[10] BENBOURENANE M, 1991, THESIS U CALIFORNIA

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