Preconditioning the Helmholtz equation via row-projections

TitlePreconditioning the Helmholtz equation via row-projections
Publication TypeConference
Year of Publication2012
AuthorsTristan van Leeuwen, Dan Gordon, Rachel Gordon, Felix J. Herrmann
Conference NameEAGE Annual Conference Proceedings
KeywordsEAGE, Helmholtz equation, precondition

3D frequency-domain full waveform inversion relies on being able to efficiently solve the 3D Helmholtz equation. Iterative methods require sophisticated preconditioners because the Helmholtz matrix is typically indefinite. We review a preconditioning technique that is based on row-projections. Notable advantages of this preconditioner over existing ones are that it has low algorithmic complexity, is easily parallelizable and extendable to time-harmonic vector equations.

Citation Keyvanleeuwen2012EAGEcarpcg