A critical study of hypersingular and strongly singular boundary integral representations of potential gradient
type: Item
instance of: scholarly article
title: A critical study of hypersingular and strongly singular boundary integral representations of potential gradient
zbMATH Open document ID: 0966.65087
author: N. Delaunay
published in: Computational Mechanics
publication date: 2000-08-14T00:00:00Z
review text: This paper deals with recovery of all first derivatives (not only the normal derivative!) of functions which are given in form of a direct boundary integral representation consisting of simple and double layer potentials for the Laplacian in two-dimensional domains with piecewise smooth Lipschitz boundary. Especially, the evaluation near and on the boundary is of interest. Four different methods for calculating the derivatives are described and their accuracy and convergence behaviour is investigated. Several numerical tests for comparing the different methods are included.
reviewed by: Andreas Pomp
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1491159
zbMATH Keywords: boundary element method
zbMATH Keywords: hypersingular integrals
zbMATH Keywords: gradient recovery
zbMATH Keywords: regularization
zbMATH Keywords: Laplace equation
zbMATH Keywords: convergence
zbMATH Keywords: numerical tests
describes a project that uses: SERBA
MaRDI profile type: Publication
full work available at URL: s004660050502
OpenAlex ID: W2021674022
DOI: 10.1007/S004660050502
description: scientific article; zbMATH DE number 1491159