An explicit finite element method for the wave equation

DOI10.1016/0168-9274(94)00048-4zbMath0816.65062OpenAlexW2009668798WikidataQ126550349 ScholiaQ126550349MaRDI QIDQ1344319

Gerard R. Richter

Publication date: 19 July 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00048-4

zbMATH Keywords

stabilityDirichlet problemwave equationerror estimatesnumerical examplesfinite elementlocal mesh refinement

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Cites Work

• Space-time finite element methods for second-order hyperbolic equations
• Discontinuity-capturing operators for elastodynamics
• A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
• Time finite element methods for structural dynamics

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