Optimality systems and their linearizations arising in optimal control of partial differential equations with pointwise control and (regularized) state constraints are considered. ...
This paper is devoted to the identification of the unknown smooth coefficient c entering the hyperbolic equation c(x)2 t u-u = 0 in a bounded smooth domain in Rd from partial (on ...
Christian Daveau, Diane Manuel Douady, Abdessatar ...
A least-squares spectral collocation method for the one-dimensional inviscid Burgers equation is proposed. This model problem shows the stability and high accuracy of these scheme...
Let A and B be nonempty, convex and closed subsets of a Hilbert space H. In the practical considerations we need to find an element of the intersection A B or, more general, to s...
In this paper we study a free boundary problem modeling the growth of tumors. The model uses the conventional ideas of nutrient diffusion and consumption by the cells. We consider...