On -convergence of Rothe’s method
Jozef Kačur (1989)
Commentationes Mathematicae Universitatis Carolinae
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Jozef Kačur (1989)
Commentationes Mathematicae Universitatis Carolinae
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Éric Boillat (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this article, we consider the initial value problem which is obtained after a space discretization (with space step ) of the equations governing the solidification process of a multicomponent alloy. We propose a numerical scheme to solve numerically this initial value problem. We prove an error estimate which is not affected by the step size chosen in the space discretization. Consequently, our scheme provides global convergence without any stability condition between and the...
Alexander Ženíšek (1985)
Aplikace matematiky
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The paper deals with an initial problem of a parabolic variational inequality whichcontains a nonlinear elliptic form having a potential , which is twice -differentiable at arbitrary . This property of 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...
Jaroslav Kurzweil (1971)
Časopis pro pěstování matematiky
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