TY - JOUR
T1 - Numerical computation of a Cauchy problem for Laplace's equation
AU - Cheng, J.
AU - Hon, Y. C.
AU - Wei, T.
AU - Yamamoto, M.
PY - 2001
Y1 - 2001
N2 - 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. © Wiley-VCH Verlag Berlin GmbH, 2001.
AB - 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. © Wiley-VCH Verlag Berlin GmbH, 2001.
KW - Cauchy problem
KW - Error estimation
KW - Ill-posedness
KW - Numerical computation
UR - http://www.scopus.com/inward/record.url?scp=23044529471&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-23044529471&origin=recordpage
M3 - 21_Publication in refereed journal
VL - 81
SP - 665
EP - 674
JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
SN - 0044-2267
IS - 10
ER -