In this work we derive by $\Gamma$ -convergence techniques a model for brittle fracture linearly elastic plates. Precisely, start from thin film with positive thickness $\rho$ and study the limit as tends to $0$ . The analysis is performed no priori restrictions on admissible displacements geometry of set. characterized Kirchhoff-Love type structure.

We present an inexact interior point proximal method to solve linearly constrained convex problems. In fact, we derive a primaldual algorithm to solve the KKT conditions of the optimization problem using a modified version of the rescaled proximal method. We also present a pure primal method. The proposed proximal method has as distinctive feature the possibility of allowing inexact inner steps...

We solve the linearly constrained linear-quadratic LQ and linear-quadratic-Gaussian LQG optimal control problems. Closed form expressions of the optimal controls are derived, and the Separation Theorem is generalized.

We algorithmically construct multi-output Gaussian process priors which satisfy linear differential equations. Our approach attempts to parametrize all solutions of the equations using Gröbner bases. If successful, a push forward Gaussian process along the paramerization is the desired prior. We consider several examples, among them the full inhomogeneous system of Maxwell’s equations. By bring...