Geodesic
Regularization in the Mosolov and Myasnikov problem with boundary friction
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 10-19

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We propose an iterative algorithm for solving a semicoercive nonsmooth variational inequality. The algorithm is based on the stepwise partial smoothing of the minimized functional and an iterative proximal regularization method. We obtain a solution to the variational Mosolov and Myasnikov problem with boundary friction as a limit point of the sequence of solutions to stable auxiliary problems.
Keywords: variational inequality, Mosolov and Myasnikov problem, functional, minimization, proximal regularization, finite element method. 
@article{IVM_2009_6_a1,
     author = {H. Kim and R. V. Namm and E. M. Vikhtenko and G. Woo},
     title = {Regularization in the {Mosolov} and {Myasnikov} problem with boundary friction},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {10--19},
     publisher = {mathdoc},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_6_a1/}
}
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H. Kim; R. V. Namm; E. M. Vikhtenko; G. Woo. Regularization in the Mosolov and Myasnikov problem with boundary friction. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 10-19. http://geodesic.mathdoc.fr/item/IVM_2009_6_a1/