A discontinuous Galerkin coupling for nonlinear elasto-acoustics

DOI10.1093/imanum/drab089OpenAlexW3217276440MaRDI QIDQ5879400

Markus Muhr, Vanja Nikolić, Barbara I. Wohlmuth

Publication date: 1 March 2023

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04311

zbMATH Keywords

nonlinear acousticsdiscontinuous Galerkin methodsultrasonic wavesKuznetsov's equationWestervelt's equationelasto-acoustic coupling

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Biomedical imaging and signal processing (92C55) Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Transonic flows (76H05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Discontinuous Galerkin discretization in time of systems of second-order nonlinear hyperbolic equations

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