Error estimation for boundary element method
type: Item
instance of: scholarly article
title: Error estimation for boundary element method
zbMATH Open document ID: 0940.65129
DOI: 10.1016/S0955-7997(98)00086-1
author: Yanyan Li
published in: Engineering Analysis with Boundary Elements
publication date: 2000-07-10T00:00:00Z
review text: Six error indicators obtained from dual boundary integral equations are used for local estimation, which is an essential ingredient for all adaptive mesh schemes in the boundary element method. Computational experiments are carried out for the two-dimensional Laplace equation. The results show that the adaptive mesh based on any one of these six error indicators converges faster than does equal mesh discretization.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1389953
zbMATH Keywords: convergence
zbMATH Keywords: error estimator
zbMATH Keywords: dual boundary intgral equations
zbMATH Keywords: adaptive mesh
zbMATH Keywords: boundary element method
zbMATH Keywords: Laplace equation
reviewed by: Karel Najzar
MaRDI profile type: Publication
cites work: Error analysis in applying a boundary element method for three-dimensional steady state potential problems
cites work: Adaptive boundary element method for bidimensional elasticity
cites work: Q4868419
cites work: Recent studies on adaptive boundary element methods
cites work: \(h\)-adaptive boundary element schemes
cites work: HYPERSINGULAR RESIDUALS—A NEW APPROACH FOR ERROR ESTIMATION IN THE BOUNDARY ELEMENT METHOD
cites work: Q3484310
cites work: A posteriori estimates of the solution error caused by discretization in the finite element, finite difference and boundary element methods
cites work: Accuracy estimates for the boundary element method
cites work: Solution of elasticity problems by a self-adaptive mesh refinement technique for boundary element computation
cites work: Grid optimization for the boundary element method
cites work: Error indicators for adaptive mesh refinement in the boundary element method—a new approach
cites work: p-adaptive boundary elements for three-dimensional potential problems
cites work: Boundary element analysis and design in seepage problems using dual integral formulation
full work available at URL: s0955-7997(98)00086-1
OpenAlex ID: W2126327160
Recommended article: Error estimates for finite element solutions of elliptic boundary value problems
Recommended article: Q4939335
Recommended article: Estimated error bounds for finite element solutions of elliptic boundary value problems
Recommended article: Q3809189
Recommended article: Q4016508
Recommended article: A posteriori boundary element error estimation
Recommended article: Q4839000
Recommended article: Error Estimate Procedure in the Finite Element Method and Applications
Recommended article: Error estimation for a numerical solution to a boundary value problem with a boundary layer
Recommended article: Q5076437
description: scientific article; zbMATH DE number 1389953