Propagation and spurious reflection in finite-element approximations of hyperbolic equations

DOI10.1016/0898-1221(85)90168-3zbMath0604.65064OpenAlexW2054177224MaRDI QIDQ1083181

Robert Vichnevetsky

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90168-3

zbMATH Keywords

spurious solutionenergy conservationspurious reflectiongroup velocitiesCrank- Nicolsonfinite element Galerkin

Mathematics Subject Classification ID

Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Invariance theorems concerning reflection at numerical boundaries, Sound waves in fluids, Wave propagation analysis of difference schemes for hyperbolic equations: A review, Wave propagation and reflection in irregular grids for hyperbolic equations

Cites Work

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• Invariance theorems concerning reflection at numerical boundaries
• On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations
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• Group Velocity in Finite Difference Schemes
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• A Simplified Galerkin Method for Hyperbolic Equations
• Mesh Refinement
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