A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form

DOI10.1007/s00211-020-01160-wzbMath1455.65166arXiv1910.06477OpenAlexW3099502804WikidataQ109322647 ScholiaQ109322647MaRDI QIDQ2217869

Alice-Agnes Gabriel, Kenneth Duru, Gunilla Kreiss, Michael Bader, Leonhard Rannabauer

Publication date: 11 January 2021

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06477

zbMATH Keywords

stabilityLaplace transformsdiscontinuous Galerkin methodelastic waveshigh order accuracyperfectly matched layerfirst order systemsboundary and interface conditions

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Laplace transform (44A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with mechanics of deformable solids (35Q74) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial value problems for systems of nonlinear first-order PDEs (35F55) Initial-boundary value problems for systems of linear first-order PDEs (35F46)

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Uses Software

• ExaHyPE

Cites Work

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• Long-time stable high-order absorbing boundary conditions for elastodynamics
• Guided elastic waves and perfectly matched layers
• Discretizing singular point sources in hyperbolic wave propagation problems
• A perfectly matched layer for the absorption of electromagnetic waves
• Stability of perfectly matched layers, group velocities and anisotropic waves.
• Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
• On energy stable discontinuous Galerkin spectral element approximations of the perfectly matched layer for the wave equation
• Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations
• The analysis of matched layers
• Boundary conditions and stability of a perfectly matched layer for the elastic wave equation in first order form
• High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
• A time domain analysis of PML models in acoustics
• High-order local non-reflecting boundary conditions: a review
• Perfectly matched layers for Maxwell's equations in second order formulation
• A new absorbing layer for elastic waves
• The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers
• Absorbing boundary conditions for numerical simulation of waves
• Boundary Waves and Stability of the Perfectly Matched Layer for the Two Space Dimensional Elastic Wave Equation in Second Order Form
• ExaHyPE: an engine for parallel dynamically adaptive simulations of wave problems

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