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friction; Coulomb law; variational inequality formulation replaced; in finite dimension by family of nonlinear equations; simultaneous; penalization and regularization; continuous model; finite element discretisation; least squares method

References:

[1] I. Hlaváček J. Haslinger J. Nečas J. Lovíšek: **Solution of Variation Inequalities in Mechanics**. (in Slovak), ALFA, SNTL, Bratislava, Praha, 1982. MR 0755152

[2] J. Nečas J. Jarušek J. Haslinger: **On the solution of the variational inequality to the Signorini problem with small friction**. Bolletino U.M.I. (5), 17 - B (1980), 796-811. MR 0580559

[3] J. Jarušek: **Contact problems with bounded friction. Coercive case**. Czech. Math. J. 33 (108) (1983), 237-261. MR 0699024

[4] J. Haslinger: **Approximation of the Signorini problem with friction, obeying the Coulomb law**. Math. Meth. in the Appl. Sci 5 (1983), 422-437. DOI 10.1002/mma.1670050127 | MR 0716664 | Zbl 0525.73130

[5] G. Duvaut J. L. Lions: **Les inéquations en mécanique et en physique**. Dunod, Paris 1972. MR 0464857