A meshless Galerkin method for Dirichlet problems using radial basis functions

Authors:
Yong Duan;Yong-Ji Tan
Affiliations:
School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, PR China;Institute of Mathematics, Fudan University, Shanghai, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 6
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Abstract

In this paper, a numerical method is given for partial differential equations, which combines the use of Lagrange multipliers with radial basis functions. It is a new method to deal with difficulties that arise in the Galerkin radial basis function approximation applied to Dirichlet (also mixed) boundary value problems. Convergence analysis results are given. Several examples show the efficiency of the method using TPS or Sobolev splines.