Continuous and discontinuous finite element methods for Burgers' equation

DOI10.1016/0045-7825(81)90069-4zbMath0443.73055OpenAlexW2034261830MaRDI QIDQ1144418

Claude Beauchamp, Paul Arminjon

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90069-4

zbMATH Keywords

Burgers' equationcontinuousdiscontinuous

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

Related Items

Discontinuous finite elements and Godunov-type methods for the Eulerian equations of gas dynamics ⋮ Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line ⋮ Semi-discrete and fully discrete HDG methods for Burgers' equation ⋮ A Novel Spectral Method for Burgers Equation on The Real Line

Cites Work

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• Numerical solution of Burgers' equations in two space dimensions
• Numerical solutions of the Eulerian equations of compressible flow by a finite element method which follows the free boundary and the interfaces
• Discontinuous finite-element approximations for the analysis of shock waves in nonlinearly elastic materials
• A theory of discontinuous finite element Galerkin approximations of shock waves in nonlinear elastic solids. I: Variational theory
• Mixed finite-element methods for incompressible flow problems
• Finite Element Collocation Methods for First Order Systems
• Discontinuous Galerkin Methods for Ordinary Differential Equations
• A finite element method for Burgers' equation in hydrodynamics
• A second order finite element method for the one-dimensional Stefan problem

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