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Sweeping preconditioners for elastic wave propagation withspectral element methods

Published online by Cambridge University Press:  20 February 2014

Paul Tsuji ,
Jack Poulson ,
Björn Engquist  and
Lexing Ying
Paul Tsuji
Affiliation:
Sandia National Laboratories, Org. 1442: Numerical Analysis and Applications, Livermore, CA 94550, USA.
Jack Poulson
Affiliation:
Georgia Institute of Technology, School of Computational Science and Engineering, Atlanta, GA 30332, USA.
Björn Engquist
Affiliation:
University of Texas at Austin, Department of Mathematics, Austin, TX 78712, USA.
Lexing Ying
Affiliation:
Stanford University, Department of Mathematics, Stanford, CA 94305, USA.. [email protected]
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Abstract

We present a parallel preconditioning method for the iterative solution of thetime-harmonic elastic wave equation which makes use of higher-order spectral elements toreduce pollution error. In particular, the method leverages perfectly matched layerboundary conditions to efficiently approximate the Schur complement matrices of a blockLDLTfactorization. Both sequential and parallel versions of the algorithm are discussed andresults for large-scale problems from exploration geophysics are presented.

Keywords

Elastic waveseismic wavetime-harmonicfrequency domainspectral elementsparallel preconditioneriterative solversparse-directperfectly matched layersfull waveform inversion
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 48 , Issue 2: Multiscale problems and techniques , March 2014 , pp. 433 - 447
Copyright
© EDP Sciences, SMAI, 2014

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