Analysis and control of a nonlinear boundary value problem

Analysis and control of a nonlinear boundary value problem

Blog Article

We consider a nonlinear two-dimensional boundary value problem which models the frictional contact of a bar with a rigid obstacle.The weak formulation of the problem is in the form of an elliptic variational inequality of the second kind.We establish the existence of a unique weak solution to the problem, Reception Desk then we introduce a regularized version of the variational inequality for which we prove existence, uniqueness and convergence results.

We proceed with an optimal control problem for which we prove the existence of an optimal Rocker Panels/Guards/Rails pair.Finally, we consider the corresponding optimal control problem associated to the regularized variational inequality and prove a convergence result.