Integration of hp-adaptivity and a two grid solver for electromagnetic problems

被引：6
|
作者：
Pardo, D [1 ]
Demkowicz, L
Gopalakrishnan, J
机构：
[1] Univ Texas, ICES, Austin, TX 78712 USA
[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 19-22期
基金：
美国国家科学基金会;
关键词：
multigrid; iterative solvers; preconditioners; Maxwell's equations;
D O I：
10.1016/j.cma.2005.05.017
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We present implementation details and analyze convergence of a two grid solver forming the core of a fully automatic hp-adaptive strategy for electromagnetic problems. The solver delivers a solution for a fine grid obtained from an arbitrary coarse lip grid by a global hp-refinement. The classical V-cycle algorithm combines an overlapping block Jacobi smoother with optimal relaxation, and a direct solve on the coarse grid. A theoretical analysis of the two grid solver is illustrated with numerical experiments. Several electromagnetic applications show the efficiency of combining the fully automatic hp-adaptive strategy with the two grid solver. (c) 2005 Elsevier B.V. All rights reserved.
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页码：2533 / 2573
页数：41
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