Domain decomposition methods for Laplace's equation by the BEM
Domain decomposition methods for Laplace's equation by the BEM
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DOI：
10.1002/1099-0887(200008)16:8
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发表时间：
2000-08
影响因子：
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通讯作者：
R. Meric
中科院分区：
文献类型：
--
作者：
R. Meric
本文研究了拉普拉斯方程的区域分解方法。采用一种优化方法来满足狄利克雷和/或诺伊曼界面条件。运用伴随变量法来求优化目标函数的敏感度。利用边界元法对原问题和伴随问题进行离散化。用所提出的求解方法研究了两个实例问题。还通过使用文献中已有的另外两种技术，即乌扎瓦方法和施瓦茨方法进行了比较。还提出可以对该方法进行并行实现，从而提高计算效率。版权所有©2000约翰威立父子有限公司
Domain decomposition methods for Laplace's equation are investigated in the present paper. An optimization approach is adopted to satisfy the Dirichlet and/or Neumann interface conditions. The adjoint variable method is used to find the sensitivity of the objective function of optimization. The boundary element method is utilized for the discretization of the primary and adjoint problems. Two example problems are studied with the proposed solution method. Comparisons are also provided by using two other techniques, namely the Uzawa and Schwarz methods, already available in the literature. It is also suggested that a parallel implementation of the method could be performed leading to computational efficiency. Copyright © 2000 John Wiley & Sons, Ltd.