Issue |
ESAIM: M2AN
Volume 48, Number 2, March-April 2014
Multiscale problems and techniques
|
|
---|---|---|
Page(s) | 433 - 447 | |
DOI | https://doi.org/10.1051/m2an/2013114 | |
Published online | 20 February 2014 |
Sweeping preconditioners for elastic wave propagation with spectral element methods
1 Sandia National Laboratories, Org.
1442: Numerical Analysis and Applications, Livermore, CA
94550,
USA.
2 Georgia Institute of Technology,
School of Computational Science and Engineering, Atlanta, GA
30332,
USA.
3 University of Texas at Austin,
Department of Mathematics, Austin, TX
78712,
USA.
4 Stanford University, Department of
Mathematics, Stanford, CA
94305,
USA.
lexing@math.stanford.edu
Received:
3
August
2013
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.
Mathematics Subject Classification: 65F08 / 65N22 / 65N80
Key words: Elastic wave / seismic wave / time-harmonic / frequency domain / spectral elements / parallel preconditioner / iterative solver / sparse-direct / perfectly matched layers / full waveform inversion
© EDP Sciences, SMAI, 2014
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