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Sweeping preconditioners for elastic wave propagation with spectral element methods

Paul TsujiJack PoulsonBjörn EngquistLexing Ying — 2014

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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 factorization. Both sequential and parallel versions of the algorithm are discussed and results for large-scale problems from exploration...

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