TY - GEN
T1 - A Computational Method for Cauchy Problem of Laplace Equation in Multidimensional Case
AU - Wei, T.
AU - Hon, Y. C.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=1542329102&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-1542329102&origin=recordpage
U2 - 10.1109/CDC.2003.1272698
DO - 10.1109/CDC.2003.1272698
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 780379241
VL - 1
SP - 1002
EP - 1005
BT - Proceedings of the IEEE Conference on Decision and Control
T2 - 42nd IEEE Conference on Decision and Control, CDC 2003
Y2 - 9 December 2003 through 12 December 2003
ER -