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Adaptive meshless centres and RBF stencils for Poisson equation

Davydov, Oleg and Oanh, Dang Thi (2011) Adaptive meshless centres and RBF stencils for Poisson equation. Journal of Computational Physics, 230 (2). pp. 287-304. ISSN 0021-9991

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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.

Item type: Article
ID code: 29136
Keywords: adaptive methods, meshless methods, radial basis functions, poisson equation, Probabilities. Mathematical statistics, Physics and Astronomy (miscellaneous), Computer Science Applications
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Pure Administrator
Date deposited: 07 Mar 2011 23:26
Last modified: 25 Sep 2017 01:24
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URI: https://strathprints.strath.ac.uk/id/eprint/29136
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