Multigrid-based `shifted-Laplacian' preconditioning for the time-harmonic elastic wave equation

DOI10.1016/j.jcp.2016.04.049zbMath1349.74364OpenAlexW2344027291WikidataQ57880102 ScholiaQ57880102MaRDI QIDQ2375268

Yanyan Li

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.04.049

zbMATH Keywords

elasticfrequency domainwave equationfinite-differencemultigrid

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Bulk waves in solid mechanics (74J10) Finite difference methods applied to problems in solid mechanics (74S20) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (7)

An efficient two-level preconditioner for multi-frequency wave propagation problems ⋮ Fully scalable solver for frequency-domain visco-elastic wave equations in 3D heterogeneous media: a controllability approach ⋮ Nested Domain Decomposition with Polarized Traces for the 2D Helmholtz Equation ⋮ A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations ⋮ An MSSS-preconditioned matrix equation approach for the time-harmonic elastic wave equation at multiple frequencies ⋮ An iterative method for 2D inverse scattering problems by alternating reconstruction of medium properties and wavefields: theory and application to the inversion of elastic waveforms ⋮ El-WaveHoltz: a time-domain iterative solver for time-harmonic elastic waves

Uses Software

• symrcm

Cites Work

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• A rapidly converging domain decomposition method for the Helmholtz equation
• An iterative method for the Helmholtz equation
• A new multigrid approach to convection problems
• A perfectly matched layer for the absorption of electromagnetic waves
• On a class of preconditioners for solving the Helmholtz equation
• Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
• On the Construction of Deflation-Based Preconditioners
• On Three-Grid Fourier Analysis for Multigrid
• A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations
• On the convergence of shifted Laplace preconditioner combined with multilevel deflation
• Multigrid Techniques
• Deflation of Conjugate Gradients with Applications to Boundary Value Problems
• IDR(s): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations
• Superfast Multifrontal Method for Large Structured Linear Systems of Equations
• Multilevel Projection-Based Nested Krylov Iteration for Boundary Value Problems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A Multigrid Tutorial, Second Edition
• Nested Domain Decomposition with Polarized Traces for the 2D Helmholtz Equation
• Analyzing the wave number dependency of the convergence rate of a multigrid preconditioned Krylov method for the Helmholtz equation with an absorbing layer
• A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
• Augmented AMG‐shifted Laplacian preconditioners for indefinite Helmholtz problems

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