A low dispersion, high accuracy finite element method for first order hyperbolic systems in several space variables

DOI10.1016/0898-1221(88)90272-6zbMath0701.65073OpenAlexW1519512285MaRDI QIDQ914343

Qiang Du, Max D. Gunzburger, William J. Layton

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90272-6

zbMATH Keywords

Galerkin methodfinite element methodweak formulationleast squares procedurefirst order hyperbolic systemsnonstandard structureminimum dispersion method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items

Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients

Cites Work

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• Finite element methods for linear hyperbolic problems
• Weak imposition of no-slip conditions in finite element methods
• On finite element approximations to time-dependent problems
• Symmetric positive linear differential equations
• A Stable Finite Element Method for Initial-Boundary Value Problems for First-Order Hyperbolic Systems
• Convergence Estimates for Galerkin Methods for Variable Coefficient Initial Value Problems
• Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
• The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines
• A Finite Element Method for First Order Hyperbolic Equations
• Energy Conserving Norms for the Solution of Hyperbolic Systems of Partial Differential Equations
• Galerkin Methods for First Order Hyperbolics: An Example