Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation

DOI10.1051/m2an/2015001zbMath1320.74101OpenAlexW1972747272MaRDI QIDQ5501888

Sarah Delcourte, N. Glinsky

Publication date: 14 August 2015

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2015001

zbMATH Keywords

discontinuous Galerkin methodelastodynamic equationleap-frog schemecentered flux

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial value problems for linear first-order PDEs (35F10) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for linear first-order PDEs (35F15)

Related Items (5)

A spectral deferred correction method for incompressible flow with variable viscosity ⋮ High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments ⋮ A high-order discontinuous Galerkin method for 1D wave propagation in a nonlinear heterogeneous medium ⋮ A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems ⋮ Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables

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