A Finite Element Method for First Order Hyperbolic Equations

DOI10.2307/2005738zbMath0323.65035OpenAlexW4249971258MaRDI QIDQ4086660

Garth A. Baker

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2005738

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05)

Related Items (9)

On the stability and performance of the \(p\)-version of the finite element method for first-order hyperbolic problems ⋮ Superconvergence of discontinuous Galerkin methods for hyperbolic systems ⋮ On the Stability of Galerkin Methods for Initial-Boundary Value Problems for Hyperbolic Systems ⋮ A Stable Finite Element Method for Initial-Boundary Value Problems for First-Order Hyperbolic Systems ⋮ A low dispersion, high accuracy finite element method for first order hyperbolic systems in several space variables ⋮ From finite differences to finite elements. A short history of numerical analysis of partial differential equations ⋮ Multistep-Galerkin Methods for Hyperbolic Equations ⋮ An analysis of Dendy's piecewise polynomial Petrov-Galerkin method for a hyperbolic equation with stagnation points ⋮ On the behavior over long time intervals of finite difference and finite element approximations to first order hyperbolic systems

Cites Work

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• Error-bounds for finite element method
• On $L^p$ Estimates and Regularity II.
• Galerkin Methods for Parabolic Equations
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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