Iterative solution strategy for least-squares problem with a PDE-block

TitleIterative solution strategy for least-squares problem with a {PDE}-block
Publication TypeSINBAD Presentation
AuthorsBas Peters, Felix J. Herrmann
PublisherSINBAD
Year of Publication2014
Abstract

Waveform inversion using the Wavefield Reconstruction Inversion (WRI) is a quadratic-penalty based method developed in our group and has shown to have advantages over the reduced Lagrangian based conventional FWI methods. WRI involves no explicit PDE solves, but a least-squares problem with a PDE block. This type of least-squares problem is very challenging to solve using iterative methods. In this talk we show algorithms we developed specifically for this application and which involve a combination of preconditioning, low-rank decomposition and deflation.

KeywordsPresentation, private, SINBAD, SINBADFALL2014, SLIM
URLhttps://www.slim.eos.ubc.ca/Publications/Private/Conferences/SINBAD/2014/Fall/peters2014SINBADiss/peters2014SINBADiss.pdf
Citation Keypeters2014SINBADiss