Reduced continuity finite element methods for first order scalar hyperbolic equations

DOI10.1051/m2an/1994280606671zbMath0821.65068OpenAlexW2585412306MaRDI QIDQ4698863

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Publication date: 27 September 1995

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193755

zbMATH Keywords

convergencenumerical resultserror estimatescomparisonsexplicit finite element methodsfirst order linear hyperbolic problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Cites Work

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• Finite element methods for linear hyperbolic problems
• A non-conforming piecewise quadratic finite element on triangles
• Analysis of a Continuous Finite Element Method for Hyperbolic Equations
• An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
• A Stable Finite Element Method for Initial-Boundary Value Problems for First-Order Hyperbolic Systems
• Local Error Estimates for a Finite Element Method for Hyperbolic and Convection-Diffusion Equations
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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