Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form

DOI10.1137/130918708zbMath1304.65201OpenAlexW2068850083MaRDI QIDQ2927830

Ramon Codina, Hector Espinoza, Santiago Badia

Publication date: 4 November 2014

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

Full work available at URL: https://doi.org/10.1137/130918708

zbMATH Keywords

stabilityconvergencewave equationfinite element methodsnumerical experimentvariational multiscale method

Mathematics Subject Classification ID

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)

Related Items (7)

On some time marching schemes for the stabilized finite element approximation of the mixed wave equation ⋮ A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation ⋮ A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form ⋮ Mixed stabilized finite element methods in linear elasticity for the velocity-stress equations in the time and the frequency domains ⋮ A mixed discontinuous Galerkin method for the wave equation ⋮ Stabilized mixed finite element method for the \(M_1\) radiation model ⋮ Exponential stability of a class of nonlinear difference equations in Banach spaces

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