ON OPTIMAL CONVERGENCE RATE OF THE RATIONAL KRYLOV SUBSPACE REDUCTION FOR ELECTROMAGNETIC PROBLEMS IN UNBOUNDED DOMAINS

被引：38

作者：

Knizhnerman, Leonid ^{[1
]}

Druskin, Vladimir ^{[2
]}

Zaslavsky, Mikhail ^{[2
]}

机构：

[1] Cent Geophys Expedit, Moscow 123298, Russia

[2] Schlumberger Doll Res Ctr, Cambridge, MA 02139 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2009年 / 47卷 / 02期

关键词：

frequency domain problems; Galerkin method; third Zolotaryov problem in complex plane; SYSTEMS; APPROXIMATIONS; EQUATIONS;

D O I：

10.1137/080715159

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve an electromagnetic frequency domain induction problem in R-3 for a frequency interval using rational Krylov subspace (RKS) approximation. The RKS is constructed by spanning on the solutions for a certain a priori chosen set of frequencies. We reduce the problem of the optimal choice of these frequencies to the third Zolotaryov problem in the complex plane, having an approximate closed form solution, and determine the best Cauchy-Hadamard convergence rate. The theory is illustrated with numerical examples for Maxwell's equations arising in 3D magnetotelluric geophysical exploration.

引用

页码：953 / 971

页数：19

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