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.

引用

页码：21 / 37

页数：17

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