Numerical computation of a Cauchy problem for Laplace's equation

Authors
Cheng, J Hon, YC Wei, T Yamamoto, M
Citation
J. Cheng et al., Numerical computation of a Cauchy problem for Laplace's equation, Z ANG MA ME, 81(10), 2001, pp. 665-674
Citations number
22
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
81
Issue
10
Year of publication
2001
Pages
665 - 674
Database
ISI
SICI code
0044-2267(2001)81:10<665:NCOACP>2.0.ZU;2-N
Abstract
This paper investigates the numerical computation of a Cauchy problem for L aplace's equation which is a typical ill-posed problem. By using Green's fo rmula, the problem is transformed to a moment problem. For numerical comput ation of the moment problem, an error estimation and several numerical exam ples for verification are presented. Necessary and sufficient conditions fo r the existence of the solution of the Cauchy problems for Laplace's equati on in two-dimension are also given.