A variational inequality approach to the problem of the design of the optimal covering of an obstacle
Neittaanmäki, P., Tiba, D., Mäkinen, R. (1989). A variational inequality approach to the problem of the design of the optimal covering of an obstacle. In A. Bérmúdez (ed.) Control of Partial differential Equations, pp. 213-224. doi:10.1007/BFb0002595
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Neittaanmäki, Pekka; Tiba, D. (University of Jyväskylä, 1986)
Kuznetsov, Yuri A.; Neittaanmäki, Pekka; Tarvainen, Pasi (American Mathematical Society, 1994)In this paper overlapping domain decomposition methods are applied to the numerical solution of nonlinear grid variational problems arising from the approximation of the obstacle problem by the piecewise linear finite ...
Apushkinskaya, Darya E.; Repin, Sergey I. (Pleiades Publishing, 2020)The paper is concerned with an elliptic variational inequality associated with a free boundary obstacle problem for the biharmonic operator. We study the bounds of the difference between the exact solution (minimizer) of ...
Apushkinskaya, Darya E.; Repin, Sergey (European Mathematical Society Publishing House, 2018)We consider elliptic variational inequalities generated by obstacle type problems with thin obstacles. For this class of problems, we deduce estimates of the distance (measured in terms of the natural energy norm) between ...
Shape optimization in contact problems. 1. Design of an elastic body. 2. Design of an elastic perfectly plastic body Haslinger, Jaroslav; Neittaanmäki, Pekka; Tiihonen, Timo (Springer, 1986)The optimal shape design of a two dimensional body on a rigid foundation is analyzed. The problem is how to find the boundary part of the body where the unilateral boundary conditions are assumed in such a way that a certain ...