On a reliable solution of a Volterra integral equation in a Hilbert space

Igor Bock; Ján Lovíšek

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Approximation and numerical realization of 3D contact problems with given friction and a coefficient of friction depending on the solution

Jaroslav Haslinger, Tomáš Ligurský (2009)

Applications of Mathematics

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The paper presents the analysis, approximation and numerical realization of 3D contact problems for an elastic body unilaterally supported by a rigid half space taking into account friction on the common surface. Friction obeys the simplest Tresca model (a slip bound is given a priori) but with a coefficient of friction $ℱ$ which depends on a solution. It is shown that a solution exists for a large class of $ℱ$ and is unique provided that $ℱ$ is Lipschitz continuous with a sufficiently small...

An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation

Marián Slodička (1990)

Aplikace matematiky

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One parabolic integrodifferential problem in the abstract real Hilbert spaces is studied in this paper. The semidiscrete and full discrete approximate solution is defined and the error estimate of Rothe's function in some function spaces is established.

Finite element analysis of the Signorini problem

Jaroslav Haslinger (1979)

Commentationes Mathematicae Universitatis Carolinae

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