TY - JOUR
T1 - On numerical experiments for Cauchy problems of elliptic operators
AU - Yang, F. L.
AU - Ling, L.
N1 - Funding Information:
This project was supported by the CERG Grant of Hong Kong Research Grant Council and the FRG Grant of Hong Kong Baptist University. The work described in this paper was supported by the NSF of China (10971089).
PY - 2011/7
Y1 - 2011/7
N2 - Over the last decade, there has been a considerable amount of new numerical methods being developed for solving the Cauchy problems of elliptic operators. In this paper, with some new classes of numerical experiments, we re-verify the conclusions in the review article [Wei T, Hon YC, Ling L. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Eng Anal Bound Elem 2007;31(4):37385.] concerning the effectiveness of solving Cauchy problems with the method of fundamental solutions.
AB - Over the last decade, there has been a considerable amount of new numerical methods being developed for solving the Cauchy problems of elliptic operators. In this paper, with some new classes of numerical experiments, we re-verify the conclusions in the review article [Wei T, Hon YC, Ling L. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Eng Anal Bound Elem 2007;31(4):37385.] concerning the effectiveness of solving Cauchy problems with the method of fundamental solutions.
KW - Cauchy problem
KW - Method of fundamental solution
KW - Boundary singularity
UR - http://www.scopus.com/inward/record.url?scp=79952984406&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2011.02.007
DO - 10.1016/j.enganabound.2011.02.007
M3 - Journal article
AN - SCOPUS:79952984406
SN - 0955-7997
VL - 35
SP - 879
EP - 882
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
IS - 7
ER -