Solution of Stefan problems by fully discrete linear schemes.
Handlovičová, A. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Solution of contaminant transport with adsorption in porous media by the method of characteristics”
Solution of Stefan problems by fully discrete linear schemes.
Solution of degenerate parabolic variational inequalities with convection
Jozef Kacur, Roger Van Keer (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Degenerate parabolic variational inequalities with convection are solved by means of a combined relaxation method and method of characteristics. The mathematical problem is motivated by Richard’s equation, modelling the unsaturated – saturated flow in porous media. By means of the relaxation method we control the degeneracy. The dominance of the convection is controlled by the method of characteristics.
Convergence of Rothe's method in Hölder spaces
Norio Kikuchi, Jozef Kačur (2003)
Applications of Mathematics
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The convergence of Rothe’s method in Hölder spaces is discussed. The obtained results are based on uniform boundedness of Rothe’s approximate solutions in Hölder spaces recently achieved by the first author. The convergence and its rate are derived inside a parabolic cylinder assuming an additional compatibility conditions.
On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories
Hamid El Ouardi (2007)
Archivum Mathematicum
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This paper is concerned with the asymptotic behaviour of a class of doubly nonlinear parabolic systems. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.
Recovery of an unknown flux in parabolic problems with nonstandard boundary conditions: Error estimates
Marián Slodička (2003)
Applications of Mathematics
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In this paper, we consider a 2nd order semilinear parabolic initial boundary value problem (IBVP) on a bounded domain , with nonstandard boundary conditions (BCs). More precisely, at some part of the boundary we impose a Neumann BC containing an unknown additive space-constant , accompanied with a nonlocal (integral) Dirichlet side condition. We design a numerical scheme for the approximation of a weak solution to the IBVP and derive error estimates for the approximation of the solution...