A fast solving method for elliptic problems in domains with re-entrant corners

被引：0
|
作者：
Javadian, A. D. [1 ]
机构：
[1] Russian Acad Sci, Inst Limnol, St Petersburg 196119, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2008年 / 23卷 / 01期
关键词：
D O I：
10.1515/RJNAMM.2008.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A fast method (MFMA) for solution of the Poisson equation -Delta u = f with homogeneous Dirichlet boundary conditions in a unit sector with an angle alpha, alpha > pi, is proposed. As a result of application of MFMA under the condition f is an element of W-2(n)(Omega), the solution accuracy of the order O(n vertical bar lnh vertical bar h(n+1)) in the energy norm is achieved requiring O(n(2)h(-2)) operations.
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页码：21 / 37
页数：17
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