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 (https://doi.org/10.1016/j.jcp.2010.09.005)
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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.
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Item type: Article ID code: 29136 Dates: DateEvent20 January 2011PublishedSubjects: 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: 01 Oct 2024 20:45 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/29136
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