Gauss-Runge-Kutta time discretization of wave equations on evolving surfaces

DOI10.1007/s00211-014-0632-2zbMath1326.65118OpenAlexW2073242482MaRDI QIDQ2514239

Dhia Mansour

Publication date: 3 February 2015

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

Full work available at URL: https://doi.org/10.1007/s00211-014-0632-2

zbMATH Keywords

wave equationunconditional stabilityerror boundsmoving surfaceevolving surface finite element methodGauss-Runge-Kutta time discretization

Mathematics Subject Classification ID

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) Hyperbolic equations and hyperbolic systems (35L99) Moving boundary problems for PDEs (35R37) PDEs on manifolds (35R01)

Related Items (4)

Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations ⋮ Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type ⋮ Variational discretization of wave equations on evolving surfaces ⋮ Implicit Runge--Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations

Uses Software

• DUNE-FEM
• RODAS

Cites Work

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