Domain decomposition by radial basis functions for time dependent partial differential equations

被引:0
作者
Munoz-Gomez, Jose Antonio
Gonzalez-Casanova, Pedro
Rodriguez-Gomez, Gustavo
机构
来源
Proceedings of the IASTED International Conference on Advances in Computer Science and Technology | 2006年
关键词
radial basis function; domain decomposition; partial differential equations;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In the last years, there has been an increased investigation of efficient algorithms to solve problems of great scale. The main restriction of the traditional methods, like finite difference methods and finite element methods, is the mesh generation. In this work, we investigate the overlapping domain decomposition method applied to time dependent partial differential equations with unsymmetric radial basis function collocation method. Numerical experiments performed with thin-plate splines as kernel function, for an evolutionary problem in two dimensions, show a drastic time reduction as we increase the number of subdomains, high numerical accuracy and lower numerical diffusion. The numerical results suggest that the scheme proposed can be useful to tackle large scale time dependent problems.
引用
收藏
页码:105 / 109
页数:5
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