2. Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves

DOI10.1515/9783110548488-002zbMath1453.65313OpenAlexW4236711886MaRDI QIDQ3299946

Christian Wieners, Daniel Ziegler, Stefan Findeisen, Willy Dörfler

Publication date: 27 July 2020

Published in: Space-Time Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110548488-002

zbMATH Keywords

elastic and acoustic wavesdiscontinuous Galerkin approximationPetrov-Galerkin scheme in time

Mathematics Subject Classification ID

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) Iterative numerical methods for linear systems (65F10) Hydro- and aero-acoustics (76Q05) Linear waves in solid mechanics (74J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08)

Related Items (4)

Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation ⋮ Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics ⋮ Space-Time Discontinuous Galerkin Methods for Linear Hyperbolic Systems and the Application to the Forward Problem in Seismic Imaging ⋮ Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation

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