Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions

DOI10.1553/etna_vol53s522zbMath1443.65204OpenAlexW3005705942WikidataQ124951232 ScholiaQ124951232MaRDI QIDQ2203385

Marlis Hochbruck, Jan Leibold

Publication date: 6 October 2020

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol53/abstract.php?vol=53&pages=522-540

zbMATH Keywords

wave equationerror analysisisoparametric finite elementsa priori error boundsdynamic boundary conditionssemilinear evolution equationsoperator semigroupsnonconforming space discretization

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Full discretization error analysis of exponential integrators for semilinear wave equations ⋮ Splitting schemes for the semi-linear wave equation with dynamic boundary conditions ⋮ An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions ⋮ A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions

Uses Software

• deal.ii

Cites Work

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