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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Official URL: https://doi.org/10.1016/j.jcp.2010.09.005
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.
Creators(s): | Davydov, Oleg and Oanh, Dang Thi; | Item type: | Article |
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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: | 28 Feb 2021 01:13 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/29136 |
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