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Sweeping preconditioners for elastic wave propagation with spectral element methods

Published online by Cambridge University Press:  20 February 2014

Paul Tsuji
Sandia National Laboratories, Org. 1442: Numerical Analysis and Applications, Livermore, CA 94550, USA.
Jack Poulson
Georgia Institute of Technology, School of Computational Science and Engineering, Atlanta, GA 30332, USA.
Björn Engquist
University of Texas at Austin, Department of Mathematics, Austin, TX 78712, USA.
Lexing Ying
Stanford University, Department of Mathematics, Stanford, CA 94305, USA..
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We present a parallel preconditioning method for the iterative solution of the time-harmonic elastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In particular, the method leverages perfectly matched layer boundary conditions to efficiently approximate the Schur complement matrices of a block LDLT factorization. Both sequential and parallel versions of the algorithm are discussed and results for large-scale problems from exploration geophysics are presented.

Research Article
© EDP Sciences, SMAI, 2014

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