The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws

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DOI10.1051/m2an/1991250303371zbMath0732.65094OpenAlexW1982883068MaRDI QIDQ3358181

Chi-Wang Shu, Bernardo Cockburn

Publication date: 1991

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193630

zbMATH Keywords

maximum principle entropy solution global stability hyperbolic conservation laws order of convergence local projection discontinuous Galerkin finite element total variation diminishing Runge-Kutta time discretization

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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