Error estimates of a fully discrete linear approximation scheme for Stefan problem.

Handlovičová, Angela

Displaying similar documents to “Error estimates of a fully discrete linear approximation scheme for Stefan problem.”

Error estimates of a linear approximation scheme for nonlinear diffusion problems.

Handlovičová, Angela (1992)

Acta Mathematica Universitatis Comenianae. New Series

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Solution of Stefan problems by fully discrete linear schemes.

Handlovičová, A. (1998)

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Solution of contaminant transport with adsorption in porous media by the method of characteristics

Jozef Kacur, Roger Van Keer (2001)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A new approximation scheme is presented for the mathematical model of convection-diffusion and adsorption. The method is based on the relaxation method and the method of characteristics. We prove the convergence of the method and present some numerical experiments in 1D. The results can be applied to the model of contaminant transport in porous media with multi-site, equilibrium and non-equilibrium type of adsorption.

Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order

Jozef Kačur (1978)

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Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation.

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Approximations of parabolic variational inequalities

Alexander Ženíšek (1985)

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The paper deals with an initial problem of a parabolic variational inequality whichcontains a nonlinear elliptic form $a (v, w)$ having a potential $J (v)$ , which is twice $G$ -differentiable at arbitrary $v \in H^{1} (Ω)$ . This property of $a (v, w)$ makes it possible to prove convergence of an approximate solution defined by a linearized scheme which is fully discretized - in space by the finite elements method and in time by a one-step finite-difference method. Strong convergence of the approximate solution is proved without...