Higher Order Single Step Fully Discrete Approximations for Second Order Hyperbolic Equations with Time Dependent Coefficients

DOI10.1137/0723003zbMath0596.65078OpenAlexW2003158943MaRDI QIDQ3729962

Laurence A. Bales

Publication date: 1986

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0723003

zbMATH Keywords

finite elementiterative methodsrates of convergenceGalerkin methodshigher order methodsError estimates

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients ⋮ On a finite element method for the equations of one-dimensional nonlinear thermoviscoelasticity ⋮ A finite element method for equations of one-dimensional nonlinear thermoelasticity ⋮ Higher-order single-step fully discrete approximations for nonlinear second-order hyperbolic equations ⋮ Error estimates for single step fully discrete approximations for nonlinear second order hyperbolic equations ⋮ Existence of solutions of the nonautonomous abstract Cauchy problem of second order ⋮ Discontinuous Galerkin discretization in time of systems of second-order nonlinear hyperbolic equations ⋮ Convergence of FEM with interpolated coefficients for semilinear hyperbolic equation ⋮ On mixed finite element methods for linear elastodynamics ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Two-layer projection-difference method with a splitting operator for the wave equation

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