El-WaveHoltz: a time-domain iterative solver for time-harmonic elastic waves

DOI10.1016/j.cma.2022.115603OpenAlexW4295746697MaRDI QIDQ2096836

Fortino Garcia, Olof Runborg, Daniel Appelö, Allen Alvarez Loya

Publication date: 11 November 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.12344

zbMATH Keywords

Helmholtz equationelastic wave equationtime-harmonic scattering

Mathematics Subject Classification ID

Finite difference methods applied to problems in solid mechanics (74S20) Linear waves in solid mechanics (74J05)

Uses Software

• MFEM

Cites Work

• Unnamed Item
• Robust and highly scalable parallel solution of the Helmholtz equation with large wave numbers
• Wavelet based ILU preconditioners for the numerical solution by PUFEM of high frequency elastic wave scattering
• Advances in iterative methods and preconditioners for the Helmholtz equation
• Time-harmonic elasticity with controllability and higher-order discretization methods
• A damping preconditioner for time-harmonic wave equations in fluid and elastic material
• Controllability methods for the computation of time-periodic solutions; application to scattering
• Stability of perfectly matched layers, group velocities and anisotropic waves.
• An explicit expression for the penalty parameter of the interior penalty method
• An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form
• On controllability methods for the Helmholtz equation
• Can classical Schwarz methods for time-harmonic elastic waves converge?
• MFEM: a modular finite element methods library
• Parallel controllability methods for the Helmholtz equation
• Multigrid-based `shifted-Laplacian' preconditioning for the time-harmonic elastic wave equation
• A new absorbing layer for elastic waves
• Sweeping preconditioners for elastic wave propagation with spectral element methods
• Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
• Improving algebraic multigrid interpolation operators for linear elasticity problems
• Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
• Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• Finite Volume Methods for Hyperbolic Problems
• A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods
• Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves
• WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation
• Discontinuous Galerkin Finite Element Method for the Wave Equation

This page was built for publication: El-WaveHoltz: a time-domain iterative solver for time-harmonic elastic waves