An efficient finite element time-domain formulation for the elastic second-order wave equation: A non-split complex frequency shifted convolutional PML

DOI10.1002/nme.3205zbMath1242.74139OpenAlexW2015906912MaRDI QIDQ2894849

René Matzen

Publication date: 2 July 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.3205

zbMATH Keywords

elastic wave equationabsorbing boundary conditionsperfectly matched layersfinite element time-domain discretizationimplicit/explicit time integration

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (14)

Wave filtering through a selective perfectly matched layer in multiscale couplings with dynamically incompatible models ⋮ An efficient complex-frequency shifted-perfectly matched layer for second-order acoustic wave equation ⋮ Time-domain hybrid formulations for wave simulations in three-dimensional PML-truncated heterogeneous media ⋮ An arbitrary Lagrangian-Eulerian method for analyzing finite-amplitude viscous acoustic waves radiated from vibrational solid boundaries: an implicit method ⋮ Scaled boundary perfectly matched layer (SBPML): a novel 3D time-domain artificial boundary method for wave problem in general-shaped and heterogeneous infinite domain ⋮ Time‐domain scaled boundary perfectly matched layer for elastic wave propagation ⋮ Formulation for wave propagation in dissipative media and its application to absorbing layers in elastoplastic analysis using mathematical programming ⋮ A high-order perfectly matched layer scheme for second-order spectral-element time-domain elastic wave modelling ⋮ A simple implementation of PML for second-order elastic wave equations ⋮ Discontinuous Galerkin discretizations of the Boltzmann-BGK equations for nearly incompressible flows: semi-analytic time stepping and absorbing boundary layers ⋮ Material profile reconstruction using plane electromagnetic waves in PML-truncated heterogeneous domains ⋮ Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation ⋮ Unsplit perfectly matched layer absorbing boundary conditions for second-order poroelastic wave equations ⋮ The enriched degree of freedom method for the absorbing boundary and its application to XFEM in elastodynamic problems

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