A Finite Element Method for First-Order Hyperbolic Systems

DOI10.2307/2006377zbMath0447.65064OpenAlexW4252341950MaRDI QIDQ3893260

Mitchell Luskin

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2006377

zbMATH Keywords

convergencefinite-element methodasymptotic error estimatesgas flow in a pipe

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (5)

Convergence of a Finite Element Method for the Approximation of Normal Modes of the Oceans ⋮ On the existence of global smooth solutions for a model equation for fluid flow in a pipe ⋮ On the boundary treatment in spectral methods for hyperbolic systems ⋮ Global smooth resolvability for a model equations of fluid flow in a pipe ⋮ A Chebyshev spectral method for gas transients in pipelines

Cites Work

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• On the existence of global smooth solutions for a model equation for fluid flow in a pipe
• The Galerkin Method Based on Hermite Cubics
• Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
• A Linear Three-Level Difference Scheme for Quasilinear Parabolic Equations
• Galerkin Methods for First Order Hyperbolics: An Example
• Two-Level Discrete-Time Galerkin Approximations for Second Order Nonlinear Parabolic Partial Differential Equations

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