Boundary Element Preconditioners for Problems Defined on Slender Domains
Boundary Element Preconditioners for Problems Defined on Slender Domains
复制标题
针对细长域上定义的问题的边界元预处理器
DOI：
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发表时间：
2002
影响因子：
3.1
通讯作者：
O. Steinbach
中科院分区：
文献类型：
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作者：
G. Rodin;O. Steinbach
在二维位势理论的框架内，我们考虑细长域上的问题。由于存在两个不同的长度尺度，这类问题的边界元矩阵条件较差。提出了一类新的预条件子来解决这个问题，使得预条件边界元矩阵变得对区域细长不敏感。利用椭圆域上边界积分算子的谱性质构造预条件子。
Within the framework of two-dimensional potential theory, we consider problems defined on slender domains. The boundary element matrices for such problems are poorly conditioned due to the presence of two disparate length scales. A new class of preconditioners is proposed to remedy this problem so that the preconditioned boundary element matrices become insensitive to the domain slenderness. The preconditioners are constructed using the spectral properties of the boundary integral operators defined on the elliptical domains.