Explicit Finite Element Schemes for First Order Symmetric Hyperbolic Systems.
M.S. Mock (1976)
Numerische Mathematik
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Displaying similar documents to “Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh.”
Explicit Finite Element Schemes for First Order Symmetric Hyperbolic Systems.
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Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint
Florent Berthelin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study in this paper some numerical schemes for hyperbolic systems with unilateral constraint. In particular, we deal with the scalar case, the isentropic gas dynamics system and the full-gas dynamics system. We prove the convergence of the scheme to an entropy solution of the isentropic gas dynamics with unilateral constraint on the density and mass loss. We also study the non-trivial steady states of the system.