Displaying similar documents to “Application of Rothe's method to parabolic variational inequalities”

Approximations of parabolic variational inequalities

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 a ( v , w ) having a potential J ( v ) , which is twice G -differentiable at arbitrary v ∈ 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...