Convergence of Nonconforming Finite Element Approximations to First-Order Linear Hyperbolic Equations

DOI10.2307/2153208zbMath0761.76038OpenAlexW4229567172MaRDI QIDQ4024682

Noel J. Walkington

Publication date: 10 February 1993

Full work available at URL: https://doi.org/10.2307/2153208

zbMATH Keywords

outflowcurved domainslinear acousticsinflow

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

The Weak Galerkin Method for Linear Hyperbolic Equation

Cites Work

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• Analysis of a Continuous Finite Element Method for Hyperbolic Equations
• Acoustic Wave Propagation Through Flows with Vorticity
• A Stable Finite Element Method for Initial-Boundary Value Problems for First-Order Hyperbolic Systems
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory

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