Adaptive spacetime meshing for discontinuous Galerkin methods
Computational Geometry: Theory and Applications
Numerical approximations of Riemann solutions to multiphase flows used in petroleum engineering
MACMESE'07 Proceedings of the 9th WSEAS international conference on Mathematical and computational methods in science and engineering
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We study an implicit spacetime Godunov method for a class of hyperbolic conservation laws known as Temple class systems. We establish the well-posedness of this method, a discrete entropy inequality, a property analogous to the total variation diminishing property of certain numerical schemes for scalar conservation laws, and, as a consequence, the convergence of the numerical method.