A generalized inf-sup stable variational formulation for the wave equation

DOI10.1016/j.jmaa.2021.125457OpenAlexW3175552985MaRDI QIDQ2235885

Marco Zank, Olaf Steinbach

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.06293

zbMATH Keywords

wave equationvariational formulationbijectivityinf-sup stability condition

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Weak solutions to PDEs (35D30) Methods of ordinary differential equations applied to PDEs (35A24) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) First-order hyperbolic equations (35L02)

Related Items (9)

A New Approach to Space-Time Boundary Integral Equations for the Wave Equation ⋮ Towards coercive boundary element methods for the wave equation ⋮ Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023 ⋮ Non‐linear space‐time elasticity ⋮ Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation ⋮ Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems ⋮ Convergence of a continuous Galerkin method for hyperbolic-parabolic systems ⋮ Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022 ⋮ An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution

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