TY - JOUR
T1 - Radial basis functions for solving near singular Poisson problems
AU - Chen, C. S.
AU - Kuhn, G.
AU - Li, J.
AU - Mishuris, G.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2003/5
Y1 - 2003/5
N2 - In this paper, we investigate the use of radial basis functions for solving Poisson problems with a near-singular inhomogeneous source term. The solution of the Poisson problem is first split into two parts: near-singular solution and smooth solution. A method for evaluating the near-singular particular solution is examined. The smooth solution is further split into a particular solution and a homogeneous solution. The MPS-DRM approach is adopted to evaluate the smooth solution.
AB - In this paper, we investigate the use of radial basis functions for solving Poisson problems with a near-singular inhomogeneous source term. The solution of the Poisson problem is first split into two parts: near-singular solution and smooth solution. A method for evaluating the near-singular particular solution is examined. The smooth solution is further split into a particular solution and a homogeneous solution. The MPS-DRM approach is adopted to evaluate the smooth solution.
KW - Compactly supported radial basis functions
KW - Dual reciprocity method
KW - Method of fundamental solutions
KW - Near singular problems
KW - Particular solution
KW - Radial basis functions
UR - http://www.scopus.com/inward/record.url?scp=0037534039&partnerID=8YFLogxK
U2 - 10.1002/cnm.593
DO - 10.1002/cnm.593
M3 - Article
AN - SCOPUS:0037534039
SN - 1069-8299
VL - 19
SP - 333
EP - 347
JO - Communications in Numerical Methods in Engineering
JF - Communications in Numerical Methods in Engineering
IS - 5
ER -