A numerical computation for inverse boundary determination problem
type: Item
instance of: scholarly article
title: A numerical computation for inverse boundary determination problem
zbMATH Open document ID: 0972.65085
DOI: 10.1016/S0955-7997(00)00040-0
published in: Engineering Analysis with Boundary Elements
publication date: 2001-11-11T00:00:00Z
review text: A numerical method for determining an unknown curve in a Cauchy problem for the Laplace equation in a domain from the homogeneous Dirichlet condition on the curve is proposed. Based on the idea of the radial basic functions for Hermite-Birkhoff data interpolation and the shift invariability property of harmonic function space, the authors approximate the solution to the Cauchy problem by linear combinations of harmonic functions and get some error estimates for the case when the exact Cauchy data are given. Some numerical results are presented.
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 1559252
zbMATH Keywords: radial basic interpolation
zbMATH Keywords: harmonic function
zbMATH Keywords: inverse boundary determination
zbMATH Keywords: inverse problem
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Laplace equation
zbMATH Keywords: error estimates
zbMATH Keywords: numerical results
author: Y. C. Hon
author: Zongmin Wu
reviewed by: Dinh Nho Hào
MaRDI profile type: Publication
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full work available at URL: s0955-7997(00)00040-0
OpenAlex ID: W2047897749
Wikidata QID: Q126781900
description: scientific article; zbMATH DE number 1559252