Title

Hypersingular Residuals - A New Approach For Error Estimation In The Boundary Element Method

Keywords

Boundary element method; Error estimates; Hypersingular integrals; Residual estimates; Singular and hypersingular residuals; Singular integrals

Abstract

This paper presents a new approach for a posteriori 'pointwise' error estimation in the boundary element method. The estimator relies upon evaluation of the rasidual of hypersingular integral equations, and is therefore intrinsic to the boundary integral equation approach. A methodology is developed for approximating the error on the boundary as well as in the interior of the domain. Extensive computational experiments have been performed for the two-dimensional Laplace equation and the numerical results indicate that the error estimates successfully track the form of the exact error curve. Moreover, a reasonable estimate of the magnitude of the actual error is also predicted.

Publication Date

1-1-1996

Publication Title

International Journal for Numerical Methods in Engineering

Volume

39

Issue

12

Number of Pages

2005-2029

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1002/(sici)1097-0207(19960630)39:12<2005::aid-nme940>3.0.co;2-d

Socpus ID

0030165729 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0030165729

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