Boundary Concentrated Finite Element Methods
Boundary Concentrated Finite Element Methods
复制标题
边界集中有限元方法
DOI：
10.1137/s0036142901391852
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
J. Melenk
中科院分区：
文献类型：
--
作者：
B. Khoromskij;J. Melenk
A method with optimal (up to logarithmic terms) complexity for solving elliptic problems is proposed. The method relies on interior regularity, but the solution may have globally low regularity due to rough boundary data or geometries. Elliptic regularity results, high order approximation results, and an efficient preconditioner are presented.
The method is utilized to realize, with linear-logarithmic complexity, an accurate and data-sparse approximation to the associated elliptic Poincare--Steklov operators. Further applications include the treatment of exterior boundary value problems and the solution of problems in the framework of domain decomposition methods.
