Solvability of partial differential equations by meshless kernel methods

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

18 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)283-299
Journal / PublicationAdvances in Computational Mathematics
Volume28
Issue number3
Publication statusPublished - Apr 2008

Abstract

This paper first provides a common framework for partial differential equation problems in both strong and weak form by rewriting them as generalized interpolation problems. Then it is proven that any well-posed linear problem in strong or weak form can be solved by certain meshless kernel methods to any prescribed accuracy. © 2006 Springer Science+Business Media B.V.

Research Area(s)

  • Kernel, Meshless, Partial differential equations, Solvability