Iterative solution methods for elliptic boundary value problems

被引：1
|
作者：
Kobelkov, Georgy M. [1 ,2 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia
[2] RAS, Marchuk Inst Numer Math, Moscow 119333, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2020年 / 35卷 / 04期
关键词：
Elliptic equations; iterative methods; rate of convergence independent of he coefficient jump;
D O I：
10.1515/rnam-2020-0018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For elliptic boundary value problems (the diffusion equation and elasticity theory ones) with highly varying coefficients, there are proposed iterative methods with the number of iterations independent of the coefficient jumps. In the differential case these methods take solving the boundary value problem for the Poisson equation at each step of iterations while in the finite difference (finite element) approximation it is possible to use another operator as a preconditioner.
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页码：215 / 222
页数：8
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