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://www.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://www.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://www.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://www.numdam.org/articles/10.1051/m2an/2013114/
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