Börner, RalphUwe and Ernst, Oliver G. and Güttel, Stefan (2014) ThreeDimensional Transient Electromagnetic Modeling Using Rational Krylov Methods. [MIMS Preprint]
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Abstract
A computational method is given for solving the forward modeling problem for transient electromagnetic exploration. Its key features are discretization of the quasistatic Maxwell's equations in space using the firstkind family of curlconforming Nedelec elements combined with time integration using rational Krylov subspace methods. We show how rational Krylov subspace methods may be used to solve the same problem in the frequency domain followed by a synthesis of the transient solution using the fast Hankel transform, arguing that the pure timedomain is more efficient. We also propose a simple method for selecting the pole parameters of the rational Krylov subspace method which leads to convergence within an a priori determined number of iterations independent of mesh size and conductivity structure. These poles are repeated in a cyclic fashion, which, in combination with direct solvers for the discrete problem, results in significantly faster solution times than previously proposed schemes.
Item Type:  MIMS Preprint 

Uncontrolled Keywords:  EM modeling, transient electromagnetics, Krylov subspace methods 
Subjects:  MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis MSC 2010, the AMS's Mathematics Subject Classification > 86 Geophysics PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 90 GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS > 93 Geophysical observations, instrumentation, and techniques 
Depositing User:  Stefan Güttel 
Date Deposited:  18 Dec 2014 
Last Modified:  08 Nov 2017 18:18 
URI:  http://eprints.maths.manchester.ac.uk/id/eprint/2219 
Available Versions of this Item

ThreeDimensional Transient Electromagnetic Modeling Using Rational Krylov Methods. (deposited 25 Jul 2014)

ThreeDimensional Transient Electromagnetic Modeling Using Rational Krylov Methods. (deposited 28 Jul 2014)
 ThreeDimensional Transient Electromagnetic Modeling Using Rational Krylov Methods. (deposited 18 Dec 2014) [Currently Displayed]

ThreeDimensional Transient Electromagnetic Modeling Using Rational Krylov Methods. (deposited 28 Jul 2014)
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