A ROBUST PRECONDITIONED MINRES SOLVER FOR DISTRIBUTED TIME-PERIODIC EDDY CURRENT OPTIMAL CONTROL PROBLEMS

被引：43

作者：

Kolmbauer, Michael ^{[1
]}

Langer, Ulrich ^{[1
,2
]}

机构：

[1] Johannes Kepler Univ Linz, Inst Computat Math, A-4040 Linz, Austria

[2] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, Linz, Austria

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2012年 / 34卷 / 06期

基金：

奥地利科学基金会;

关键词：

time-periodic optimization; eddy current problems; finite element discretization; MinRes solver; MIXED FINITE-ELEMENTS; MAXWELLS EQUATIONS; MULTIGRID METHOD; BOUNDARY-VALUE; STRATEGY; H(DIV);

D O I：

10.1137/110842533

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to the construction and analysis of robust solvers for some distributed optimal control problems for time-periodic eddy current problems. We apply the multiharmonic approach to the optimality system and construct a new preconditioned MinRes solver for the system of frequency domain equations. We show that this solver is robust with respect to the space discretization and time discretization parameters as well as all involved "bad" parameters, like the conductivity, the reluctivity, and the regularization and cost parameters.

引用

页码：B785 / B809

页数：25

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