DocumentCode
404462
Title
A computational method for Cauchy problem of Laplace equation in multidimensional case
Author
Wei, T. ; Hon, Y.C.
Author_Institution
Dept. of Math., City Univ. of Hong Kong, China
Volume
1
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
1002
Abstract
In this paper we propose a computational method for solving a Cauchy problem of Laplace´s equation. By using the Green formula, the Cauchy problem is transformed to a moment problem so that numerical computations by using a regularization technique can be achieved. Stability estimation and suitable choice of regularization parameter for the proposed method are also given. For numerical verification, two numerical examples in the two and three dimensional cases are presented.
Keywords
Green´s function methods; Laplace equations; method of moments; numerical stability; Cauchy problem; Green formula; Laplace equation; computational method; moment problem; multidimensional case; numerical computations; numerical verification; regularization parameter; regularization technique; stability estimation; Boundary element methods; Cardiology; Computer aided software engineering; Erbium; Geophysics; Laplace equations; Mathematics; Multidimensional systems; Stability; Testing;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1272698
Filename
1272698
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