Radial basis functions for solving near singular Poisson problems

C. S. Chen*, G. Kuhn, J. Li, G. Mishuris

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (SciVal)

Abstract

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.

Original languageEnglish
Pages (from-to)333-347
Number of pages15
JournalCommunications in Numerical Methods in Engineering
Volume19
Issue number5
DOIs
Publication statusPublished - May 2003

Keywords

  • Compactly supported radial basis functions
  • Dual reciprocity method
  • Method of fundamental solutions
  • Near singular problems
  • Particular solution
  • Radial basis functions

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