Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions

Authors:
Abdeljalil Fili;Ahmed Naji;Yong Duan
Affiliations:
LMPPRN (Laboratoire de Modélisation des Phénomènes Physiques et Risques Naturels), Department of Mathematics, Faculty of Sciences and Techniques. B.P. 416, Tangier, Morocco;LMPPRN (Laboratoire de Modélisation des Phénomènes Physiques et Risques Naturels), Department of Mathematics, Faculty of Sciences and Techniques. B.P. 416, Tangier, Morocco;School of Mathematical Sciences, University of Electronic Sciences and Technology of China, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 4
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Abstract

In this work, we solve the elliptic partial differential equation by coupling the meshless mixed Galerkin approximation using radial basis function with the three-field domain decomposition method. The formulation has been adopted to increase the efficiency of the numerical technique by decreasing the error and dealing with the ill conditioning of the linear system caused by the radial basis function. Convergence analysis of the coupled technique is treated and numerical results of some solved examples are given at the end of this paper.