Optimum interpolation functions for boundary element method
type: Item
instance of: scholarly article
title: Optimum interpolation functions for boundary element method
zbMATH Open document ID: 0951.65131
DOI: 10.1016/S0955-7997(99)00056-9
author: M. E. Fox
author: Madhukar Vable
author: Bruce A. Ammons
published in: Engineering Analysis with Boundary Elements
publication date: 2000-06-21T00:00:00Z
review text: This interesting paper discusses and presents guidelines to the subject matter of where to position the collocation points in 2-D higher-order boundary element implementations. By minimizing the error functions within the element, an optimum location for the nodal points is identified, leading to improved solution accuracy when compared to the conventional equally spaced nodaldistributions alternative. Lagrange and Hermite interpolations are dealt with, up to high enough orders for practical use. Six example problems are included to illustrate the procedure.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 1462729
zbMATH Keywords: optimum interpolation functions
zbMATH Keywords: boundary element method
zbMATH Keywords: numerical examples
zbMATH Keywords: error bound
reviewed by: J. C. F. Telles
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1462729