Finite volume schemes for nonlinear parabolic problems: another regularization method.
Eymard, Robert, Gallouët, Thierry, Herbin, Raphaele (2007)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Displaying similar documents to “Convergence of approximate solutions to scalar conservation laws by degenerate diffusion”
Finite volume schemes for nonlinear parabolic problems: another regularization method.
On a class of scalar conservation laws with locally unbounded solutions
Tesei, A., Natalini, R.
Similarity:
History-dependent scalar conservation laws
Pierangelo Marcati, Bruno Rubino (1996)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Construction of entropy solutions for one dimensional elastodynamics via time discretisation
Sophia Demoulini, David M. A. Stuart, Athanasios E. Tzavaras (2000)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Large time behaviour of a diffusion equation with strong convection
S. Claudi, R. Natalini, A. Tesei (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Obstacle problems for scalar conservation laws
Laurent Levi (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
In this paper we are interested in bilateral obstacle problems for quasilinear scalar conservation laws associated with Dirichlet boundary conditions. Firstly, we provide a suitable entropy formulation which ensures uniqueness. Then, we justify the existence of a solution through the method of penalization and by referring to the notion of entropy process solution due to specific properties of bounded sequences in . Lastly, we study the behaviour of this solution and its stability properties...
Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint
Florent Berthelin (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
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.