Dependence of the efficiency of a posteriori estimation of the solution accuracy of an elliptic boundary-value problem on the problem data and estimation algorithm parameters

被引：0

作者：

Bogolyubov, A. N. ^{[1
]}

Malykh, M. D. ^{[1
]}

Panin, A. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Math, Fac Phys, Moscow 119992, Russia

来源：

MOSCOW UNIVERSITY PHYSICS BULLETIN | 2009年 / 64卷 / 01期

关键词：

elliptic equations; error estimation; a posteriori error estimation; ERROR ESTIMATION;

D O I：

10.3103/S0027134909010044

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on numerical experiments, we analyzed the relationship between the efficiency of the error estimation method proposed by S.I. Repin for approximate solutions of elliptical equations and the problem data and estimation algorithm parameters used.

引用

页码：17 / 21

页数：5

共 5 条

[1] A posteriori error estimation for the Dirichlet problem with account of the error in the approximation of boundary conditions
Repin, S
Sauter, S
Smolianski, A
[J]. COMPUTING, 2003, 70 (03) : 205 - 233
[2] Repin S, 2001, P ST PETERSBURG MATH, V9, P148
[3] REPIN S, 2 SIDED POSTERIORI E
[4] Repin S. I., 2002, COMP MATH MATH PHYS, V42, P1704
[5] A unified approach to a posteriori error estimation based on duality error majorants
Repin, SI
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 1999, 50 (1-4) : 305 - 321

← 1 →