期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 230, 期 2, 页码 287-304出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2010.09.005
关键词
Mesh less methods; Radial basis functions; Poisson equation; Adaptive methods
资金
- National Foundation for Science and Technology Development (NAFOSTED)
- Ministry of Education and Training
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. (c) 2010 Elsevier Inc. All rights reserved.
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