Robust and highly scalable parallel solution of the Helmholtz equation with large wave numbers

DOI10.1016/j.cam.2012.07.024zbMath1252.65181OpenAlexW2066737957MaRDI QIDQ455841

Rachel Gordon, Dan Gordon

Publication date: 22 October 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.07.024

zbMATH Keywords

Helmholtz equationpartial differential equationsparallel processinghigh frequencyCARP-CGlarge wave numbers

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (10)

Solution of three-dimensional multiple scattering problems by the method of difference potentials ⋮ High order methods for acoustic scattering: coupling farfield expansions ABC with deferred-correction methods ⋮ A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations ⋮ A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation ⋮ Parallel solution of high frequency Helmholtz equations using high order finite difference schemes ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ A penalty method for PDE-constrained optimization in inverse problems ⋮ A convergent Born series for solving the inhomogeneous Helmholtz equation in arbitrarily large media ⋮ El-WaveHoltz: a time-domain iterative solver for time-harmonic elastic waves ⋮ Some Computational Aspects of the Time and Frequency Domain Formulations of Seismic Waveform Inversion

Uses Software

• Aztec

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