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2 International Journal of Applied Mathematics and Computer Science

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On a Regularization Method for Variational Inequalities with P0 Mappings

Konnov I., Mazurkevich E., Ali M.

International Journal of Applied Mathematics and Computer Science

2005

Vol. 15, no 1

35-44

We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.

Numerical Analysis and Simulations of Quasistatic Frictionless Contact Problems

Fernandez Garcia J. R., Han W., Shillor M., Sofonea M.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no 1

205-222

A summary of recent results concerning the modelling as well as the variational and numerical analysis of frictionless contact problems for viscoplastic materials are presented. The contact is modelled with the Signorini or normal compliance conditions. Error estimates for the fully discrete numerical scheme are described, and numerical simulations based on these schemes are reported.