Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
522283 | Journal of Computational Physics | 2011 | 18 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Oleg Davydov, Dang Thi Oanh,