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Decay estimates for solutions of a class of parabolic problems arising in filtration through porous media

G. A. Philippin, S. Vernier-Piro (2001)

Bollettino dell'Unione Matematica Italiana

In questo lavoro si studia un problema di valori al contorno parabolico non lineare che si incontra nello studio dell'infiltrazione di un gas in un mezzo poroso. Si stabiliscono condizioni sui dati che determinano un comportamento di tipo esponenziale decrescente nel tempo per la soluzione e il suo gradiente. Si costruiscono inoltre stime esplicite.

Differential-functional inequalities of parabolic type in unbounded regions

P. Besala, G. Paszek (1980)

Annales Polonici Mathematici

Discrete maximum principle for interior penalty discontinuous Galerkin methods

Tamás Horváth, Miklós Mincsovics (2013)

Open Mathematics

A class of linear elliptic operators has an important qualitative property, the so-called maximum principle. In this paper we investigate how this property can be preserved on the discrete level when an interior penalty discontinuous Galerkin method is applied for the discretization of a 1D elliptic operator. We give mesh conditions for the symmetric and for the incomplete method that establish some connection between the mesh size and the penalty parameter. We then investigate the sharpness of...

Discrete maximum principles for the FEM solution of some nonlinear parabolic problems.

Faragó, István, Karátson, János, Korotov, Sergey (2009)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Displaying 1 – 4 of 4

Decay estimates for solutions of a class of parabolic problems arising in filtration through porous media

Differential-functional inequalities of parabolic type in unbounded regions

Discrete maximum principle for interior penalty discontinuous Galerkin methods

Discrete maximum principles for the FEM solution of some nonlinear parabolic problems.

Currently displaying 1 – 4 of 4