一类三角形边界积分方程组的边界元法

2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory Pub Date : 2009-10-30 DOI:10.1109/DIPED.2009.5306941

S. Litynskyy, Yuriy Muzychuk

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引用次数: 3

摘要

研究了一类具有无穷多个边界积分方程的系统，该系统等价于某些三角形椭圆方程组的Dirichlet问题及其弱形式。本文构造了求解这类系统的循环算法。它涉及到使用边界元法一步一步地找到解的组成部分。比较了配置法和伽辽金法的收敛阶数。

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Boundary elements method for some triangular system of boundary integral equations

A system with infinite quantity of the boundary integral equations which is equivalent to the Dirichlet problem for some triangular system of elliptical equations and its weak formulation has been considered. A recurrent algorithm for solving such systems has been constructed. It involves finding the components of the solution using the boundary elements method step-by-step. The convergence orders for the collocation and the Galerkin methods have been compared.

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来源期刊

2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory

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