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Abstract: Collocation meshless method is applied to solve the heat conduction differential equations and an iterative meshless technique is proposed. The results show that the collocation meshless and iteration method is convenient in the implementation of programming, and the computation accuracy is almost the same as that of FEM. The iterative meshless
method is free of assembling the interpolation matrix, and it only
occupies a little storage space because of point iteration. By properly
selecting a relaxation factor, the number of iterations can be decreased for the relaxation iterative method compared with the Gauss-Seidel iteration. The preliminary study indicates that collocation meshless and iteration method has advantage for solving large scale engineering problems.
Key words: Collocation meshless method
Iterative meshless technique
Heat conduction differential equations
CLC No: O256
国家自然科学基金暨宝钢“钢铁研究联合基金”资助项目(50474088). Received 20050618, received in revised form 20051219 |