期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 47, 期 2, 页码 953-971出版社
SIAM PUBLICATIONS
DOI: 10.1137/080715159
关键词
frequency domain problems; Galerkin method; third Zolotaryov problem in complex plane
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.
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