Wavelet solutions for the Dirichlet problem
Wavelet solutions for the Dirichlet problem
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DOI：
10.1007/s002110050125
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发表时间：
1995-05
影响因子：
2.1
通讯作者：
Jr. Wells;Xiaodong Zhou
中科院分区：
文献类型：
--
作者：
Jr. Wells;Xiaodong Zhou
提出了一种求解Dirichlet边值问题的修正的经典罚方法。这种新的虚拟区域惩罚法消除了传统的在不规则区域情况下生成复杂计算网格的需要。它是基于这样一个事实，即人们可以展开的边界测量下选择的基础，导致快速，近似计算的边界积分。紧支持和正交的基础是必不可少的表示边界措施的数字，因此实施这种方法。
A modified classical penalty method for solving a Dirichlet boundary value problem is presented. This newfictitious domain penaltymethod eliminates the traditional need of generating a complex computation grid in the case of irregular domains. It is based on the fact that one can expand theboundary measureunder the chosen basis which leads to a fast, approximate calculation of boundary integral. The compact support and orthonormality of the basis are essential for representing the boundary measure numerically, and therefore for implementing this methodology.