Second order Overhauser elements for boundary element analysis
type: Item
instance of: scholarly article
title: Second order Overhauser elements for boundary element analysis
zbMATH Open document ID: 0858.65119
DOI: 10.1016/0895-7177(96)00012-X
author: Yanyan Li
published in: Mathematical and Computer Modelling
publication date: 1996-08-11T00:00:00Z
review text: The author reports on the use of Overhauser splines as trial functions for boundary element collocation solving plane elliptic boundary value problems. Overhauser elements of first and second order are constructed by linear and quadratic blending of second and fourth order interpolating polynomials, respectively, resulting in \(C^1\) piecewise polynomials. It is shown for a simple numerical example that boundary element collocation with Overhauser elements provide more accurate numerical results than usual quadratic elements and approximate the tangential derivative on the boundary, too.
reviewed by: Gunther Schmidt
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 915000
zbMATH Keywords: Overhauser splines
zbMATH Keywords: boundary element collocation
zbMATH Keywords: numerical example
zbMATH Keywords: tangential derivative
MaRDI profile type: Publication
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full work available at URL: 0895-7177(96)00012-x
OpenAlex ID: W2002235696
description: scientific article; zbMATH DE number 915000