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- W2024507946 abstract "In this paper we revisit a quasi-static contact problem of a thermoviscoelastic beam between two rigid obstacles which was recently studied in [1]. The variational problem leads to a coupled system, composed of an elliptic variational inequality for the vertical displacement and a linear variational equation for the temperature field. Then, its numerical resolution is considered, based on the finite element method to approximate the spatial variable and the implicit Euler scheme to discretize the time derivatives. Error estimates are proved from which, under adequate regularity conditions, the linear convergence is derived. Finally, some numerical simulations are presented to show the accuracy of the algorithm and the behavior of the solution." @default.
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- W2024507946 date "2011-05-01" @default.
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- W2024507946 title "Numerical analysis of a quasi-static contact problem for a thermoviscoelastic beam" @default.
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- W2024507946 doi "https://doi.org/10.1016/j.cam.2011.03.011" @default.
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