Adaptive meshless centres and RBF stencils for Poisson equation

Oleg Davydov, Dang Thi Oanh

Research output: Contribution to journalArticlepeer-review

54 Citations (Scopus)
319 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)287-304
Number of pages18
JournalJournal of Computational Physics
Issue number2
Publication statusPublished - 20 Jan 2011


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


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