Adaptive meshless centres and RBF stencils for Poisson equation

Oleg Davydov, Dang Thi Oanh

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

We consider adaptive meshless discretisation of the Dirichlet problem for Poisson equation based on numerical differentiation stencils obtained with the help of radial basis functions. New meshless stencil selection and adaptive refinement algorithms are proposed in 2D. Numerical experiments show that the accuracy of the solution is comparable with, and often better than that achieved by the mesh-based adaptive finite element method.
LanguageEnglish
Pages287-304
Number of pages18
JournalJournal of Computational Physics
Volume230
Issue number2
DOIs
Publication statusPublished - 20 Jan 2011

Fingerprint

Dirichlet problem
numerical differentiation
Poisson equation
mesh
finite element method
Finite element method
Experiments

Keywords

  • adaptive methods
  • meshless methods
  • radial basis functions
  • poisson equation

Cite this

Davydov, Oleg ; Oanh, Dang Thi. / Adaptive meshless centres and RBF stencils for Poisson equation. In: Journal of Computational Physics. 2011 ; Vol. 230, No. 2. pp. 287-304.
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Adaptive meshless centres and RBF stencils for Poisson equation. / Davydov, Oleg; Oanh, Dang Thi.

In: Journal of Computational Physics, Vol. 230, No. 2, 20.01.2011, p. 287-304.

Research output: Contribution to journalArticle

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