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

DOI10.1016/J.JMAA.2021.125457zbMath1517.65091arXiv2101.06293MaRDI QIDQ6358381

Marco Zank, Olaf Steinbach

Publication date: 15 January 2021

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)

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