Abstract
The method of successive approximations is examined as a tool for solving the semicoercive quasi-variational Signorini inequality. The auxiliary problems with given friction arising at each step of this method are solved using the Uzawa method with an iterative proximal regularization of the modified Lagrangian functional.
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Original Russian Text © R.V. Namm, S.A. Sachkov, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2009, Vol. 49, No. 5, pp. 805–814.
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Namm, R.V., Sachkov, S.A. Solving the quasi-variational Signorini inequality by the method of successive approximations. Comput. Math. and Math. Phys. 49, 776–785 (2009). https://doi.org/10.1134/S0965542509050042
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DOI: https://doi.org/10.1134/S0965542509050042