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.
Mots-clés : elastic wave, seismic wave, time-harmonic, frequency domain, spectral elements, parallel preconditioner, iterative solver, sparse-direct, perfectly matched layers, full waveform inversion
@article{M2AN_2014__48_2_433_0,
author = {Tsuji, Paul and Poulson, Jack and Engquist, Bj\"orn and Ying, Lexing},
title = {Sweeping preconditioners for elastic wave propagation with spectral element methods},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {433--447},
publisher = {EDP-Sciences},
volume = {48},
number = {2},
year = {2014},
doi = {10.1051/m2an/2013114},
mrnumber = {3177852},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an/2013114/}
}
TY - JOUR AU - Tsuji, Paul AU - Poulson, Jack AU - Engquist, Björn AU - Ying, Lexing TI - Sweeping preconditioners for elastic wave propagation with spectral element methods JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2014 SP - 433 EP - 447 VL - 48 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an/2013114/ DO - 10.1051/m2an/2013114 LA - en ID - M2AN_2014__48_2_433_0 ER -
%0 Journal Article %A Tsuji, Paul %A Poulson, Jack %A Engquist, Björn %A Ying, Lexing %T Sweeping preconditioners for elastic wave propagation with spectral element methods %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2014 %P 433-447 %V 48 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an/2013114/ %R 10.1051/m2an/2013114 %G en %F M2AN_2014__48_2_433_0
Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing. Sweeping preconditioners for elastic wave propagation with spectral element methods. ESAIM: Mathematical Modelling and Numerical Analysis , Multiscale problems and techniques. Special Issue, Tome 48 (2014) no. 2, pp. 433-447. doi : 10.1051/m2an/2013114. http://archive.numdam.org/articles/10.1051/m2an/2013114/
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