A formulation and solution for boundary element analysis of inhomogeneous-nonlinear problem; the case involving derivatives of unknown function
type: Item
instance of: scholarly article
title: A formulation and solution for boundary element analysis of inhomogeneous-nonlinear problem; the case involving derivatives of unknown function
zbMATH Open document ID: 0945.65133
DOI: 10.1016/S0955-7997(98)00092-7
author: Song Qing Xu
author: N. Kamiya
published in: Engineering Analysis with Boundary Elements
publication date: 2000-09-24T00:00:00Z
review text: A new formulation for the boundary element analysis of inhomogeneous nonlinear Poisson problem was proposed previously by the present authors. The formulation is further extended here to deal with the case where derivatives of the unknown function are included in the inhomogeneous term. Two polynomial interpolations in terms of the space coordinates are employed: one for the inhomogeneous term and the other for the unknown function. Taking computing points on the boundary as well as inside the domain, the equations on these points are employed to determine the unknown coefficients of the polynomials by using the method of least squares.
reviewed by: Yunkang Liu
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1389977
zbMATH Keywords: boundary element method
zbMATH Keywords: nonlinear Poisson problem
zbMATH Keywords: computing point analysis
zbMATH Keywords: polynomial interpolation
zbMATH Keywords: local iteration
zbMATH Keywords: method of least squares
MaRDI profile type: Publication
cites work: A formulation and solution for boundary element analysis of inhomogeneous-nonlinear problem
Wikidata QID: Q126743531
description: scientific article; zbMATH DE number 1389977