Minimal-residual iterative methods for time-harmonic wave-equation

TitleMinimal-residual iterative methods for time-harmonic wave-equation
Publication TypeSINBAD Presentation
AuthorsRafael Lago, Felix J. Herrmann
PublisherSINBAD
Year of Publication2014
Abstract

In this work we aim at comparing the performance of some iterative methods for solving the time-harmonic acoustic wave-equation, one of the most challenging problems in the numerical linear algebra community. Widely used in frequency domain full waveform inversion, the discrete wave-equation yields very large, complex, sparse, ill-conditioned linear systems. In this extended abstract we aim at further comparing our recently proposed method, CRMN, against CGMN and another method renown for being very memory efficient, the two-level preconditioner with shifted Laplacian operator. We propose several improvements for the two-level preconditioner by combining this method with CRMN in several senses.

KeywordsPresentation, private, SINBAD, SINBADFALL2014, SLIM
URLhttps://www.slim.eos.ubc.ca/Publications/Private/Conferences/SINBAD/2014/Fall/lago2014SINBADmri/lago2014SINBADmri.pdf
Citation Keylago2014SINBADmri