A Helmholtz iterative solver for 3D seismic-imaging problems

By René-Edouard Plessix. 2007

133 citations recorded by the source corpus.

Subfields: Geophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/962d3336f4ca71985d43e7f519ddfe82ca5b5de6

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In Geophysics

In Ocean Engineering

Citations in the corpus

On 3D modeling of seismic wave propagation via a structured parallel multifrontal direct Helmholtz solver (2011, methodology): “(It is shown in Hoffman, Martin and Rose (1973)) that for 2D problems, nested dissection reordering provides the optimal complexity for LU factorizations among all the ordering techniques.”
A parametrization study for surface seismic full waveform inversion in an acoustic vertical transversely isotropic medium (2011, background): “D applications have also been reported (Epanomeritakis et al. 2008; Fichtner et al. 2009; Plessix 2009; Plessix & Perkins 2010; Sirgue et al. 2010; Vigh et al. 2010).”
Implementing bound constraints and total-variation regularization in extended full waveform inversion with the alternating direction method of multiplier: application to large contrast media (2019, background): “The matrix A(m) ∈ CN×N represents the discretized PDE Helmholtz operator (Pratt et al., 1998; Plessix, 2007; Chen et al., 2013).”
Which data residual norm for robust elastic frequency-domain full waveform inversion? (2010, methodology): “These have been based on direct solvers, iteraive solvers, hybrid direct/iterative solvers, and time-domain aproaches Nihei and Li, 2007; Operto et al., 2007; Plessix, 2007; arner et al., 2007; Sirgue et al., 2008; Sourbier et al., 2008; Etienne t al., 2009 .”
An overview of full-waveform inversion in exploration geophysics (2009, methodology): “Iterative solvers provide an alternative approach for solving the time-harmonic wave equation (cid:1) Riyanti et al., 2006, 2007; Plessix, 2007; Erlangga and Herrmann, 2008 (cid:2) .”
Fast 3D frequency-domain full-waveform inversion with a parallel block low-rank multifrontal direct solver: Application to OBC data from the North Sea (2016, methodology): “Considering a computational mesh with n(3) degrees of freedom, an acquisition with n(2) seismic sources and assuming that the number of time steps scales to n, the time complexity of time-domain modeling scales to Oðn6Þ (Plessix, 2007).”