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
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;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272698
