An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions

DOI10.1007/s00211-021-01184-wzbMath1464.65086OpenAlexW3047590843WikidataQ124827157 ScholiaQ124827157MaRDI QIDQ2022339

Marlis Hochbruck, Jan Leibold

Publication date: 28 April 2021

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-021-01184-w

zbMATH Keywords

semilinear wave equationerror analysisa priori error boundsdynamic boundary conditionssemilinear evolution equationsoperator semigroupsIMEXimplicit-explicit time integrationnonconforming space discretization

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Numerical solutions to abstract evolution equations (65J08)

Related Items (3)

A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation ⋮ Splitting schemes for the semi-linear wave equation with dynamic boundary conditions ⋮ An efficient numerical method for time domain electromagnetic wave propagation in co-axial cables

Uses Software

• deal.ii

Cites Work

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• Recent developments in IMEX methods with time filters for systems of evolution equations

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