Voltar
Artigo Revisado por pares
BIBTEX RIS

Numerical Computation of a Cauchy Problem for Laplace's Equation

2001; Wiley; Volume: 81; Issue: 10 Linguagem: Inglês

10.1002/1521-4001(200110)81

ISSN

1521-4001

Autores

Jin Cheng, Y.C. Hon, Ting Wei, Masahiro Yamamoto,

Tópico(s)

Numerical methods in engineering

Resumo

This paper investigates the numerical computation of a Cauchy problem for Laplace's equation which is a typical ill-posed problem. By using Green's formula, the problem is transformed to a moment problem. For numerical computation of the moment problem, an error estimation and several numerical examples for verification are presented. Necessary and sufficient conditions for the existence of the solution of the Cauchy problems for Laplace's equation in two-dimension are also given.

Referência(s)