Convergence analysis of the local defect correction method for diffusion equations

被引：0
|
作者：
M.J.H. Anthonissen
R.M.M. Mattheij
J.H.M. ten Thije Boonkkamp
机构：
[1] Eindhoven University of Technology,Department of Mathematics and Computer Science
来源：
Numerische Mathematik | 2003年 / 95卷
关键词：
General Expression; Numerical Experiment; Finite Difference; Diffusion Equation; Grid Size;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is concerned with the convergence analysis of the local defect correction (LDC) method for diffusion equations. We derive a general expression for the iteration matrix of the method. We consider the model problem of Poisson's equation on the unit square and use standard five-point finite difference discretizations on uniform grids. It is shown via both an upper bound for the norm of the iteration matrix and numerical experiments, that the rate of convergence of the LDC method is proportional to H2 with H the grid size of the global coarse grid.
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页码：401 / 425
页数：24
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