A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids

DOI10.1137/21M1410919zbMath1486.65160arXiv2006.16373OpenAlexW3038322078MaRDI QIDQ5022485

Ilario Mazzieri, Michele Botti, Simone Nati Poltri, Paola Francesca Antonietti

Publication date: 19 January 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16373

zbMATH Keywords

convergence analysisdiscontinuous Galerkin methodacousticsporoelasticitypolygonal and polyhedral meshes

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) 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)

Related Items (6)

Discontinuous Galerkin Approximation of the Fully Coupled Thermo-poroelastic Problem ⋮ A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem ⋮ Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods ⋮ Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods ⋮ Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes ⋮ On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review

Uses Software

• PolyMesher

Cites Work

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