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The local projection \(P^ 0-P^ 1\)-discontinuous-Galerkin finite element method for scalar conservation laws. (English) Zbl 0715.65079
The local projection \(P^ 0-P^ 1\)-discontinuous Galerkin finite element method \((\Lambda \Pi P^ 0P^ 1\)-scheme) is used for solving numerically scalar conservation laws. The method is obtained modifying an explicit discontinuous Galerkin method introduced via a local projection. The resulting scheme is an extension of the Godunov scheme that verifies a local maximum principle. Numerical evidence is given.
Reviewer: P.Y.Yalamov

65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
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