Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions
Jozef Kačur (1980)
Mathematica Slovaca
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Jozef Kačur (1980)
Mathematica Slovaca
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Ján Filo (1988)
Mathematica Slovaca
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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...