On convergence of a least-squares kansa's method for the modified helmholtz equations

Ting On Kwok*, Leevan LING

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

12 Citations (Scopus)

Abstract

We analyze a least-squares asymmetric radial basis function collocation method for solving the modified Helmholtz equations. In the theoretical part, we proved the convergence of the proposed method providing that the collocation points are sufficiently dense. For numerical verification, direct solver and a sub-space selection process for the trial space (the so-called adaptive greedy algorithm) is employed, respectively, for small and large scale problems.

Original languageEnglish
Pages (from-to)367-382
Number of pages16
JournalAdvances in Applied Mathematics and Mechanics
Volume1
Issue number3
Publication statusPublished - 2009

Scopus Subject Areas

  • Mechanical Engineering
  • Applied Mathematics

User-Defined Keywords

  • Adaptive greedy algorithm
  • Asymmetric collocation
  • Convergence analysis
  • Kansa's method
  • Radial basis function

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