Control in obstacle-pseudoplate problems with friction on the boundary. approximate optimal design and worst scenario problems
Volume 29 / 2002
Applicationes Mathematicae 29 (2002), 75-95
MSC: 65N30, 74K20, 74P05, 93C30.
DOI: 10.4064/am29-1-8
Abstract
In addition to the optimal design and worst scenario problems formulated in a previous paper [3], approximate optimization problems are introduced, making use of the finite element method. The solvability of the approximate problems is proved on the basis of a general theorem of [3]. When the mesh size tends to zero, a subsequence of any sequence of approximate solutions converges uniformly to a solution of the continuous problem.
