This article addresses the inference of physics models from data, from the perspectives of
inverse problems and model reduction. These fields develop formulations that integrate data …

We consider the numerical simulation of an optimal control problem constrained by the
unsteady Stokes–Brinkman equation involving random data. More precisely, we treat the …

The goal of this paper is the efficient numerical simulation of optimization problems
governed by either steady-state or unsteady partial differential equations involving random …

We consider discontinuous Galerkin methods for an elliptic distributed optimal control
problem constrained by a convection-dominated problem. We prove global optimal …

This paper analyzes the local properties of the symmetric interior penalty upwind
discontinuous Galerkin (SIPG) method for the numerical solution of optimal control problems …

Many physical questions in fluid dynamics can be recast in terms of norm constrained
optimisation problems; which in-turn, can be further recast as unconstrained problems on …

We discuss the symmetric interior penalty Galerkin (SIPG) method, the nonsymmetric interior
penalty Galerkin (NIPG) method, and the incomplete interior penalty Galerkin (IIPG) method …

We begin an investigation of hybridizable discontinuous Galerkin (HDG) methods for
approximating the solution of Dirichlet boundary control problems governed by elliptic PDEs …

In this paper, we analyze the convergence of several optimize-then-discretize and discretize-
then-optimize algorithms, based on either a second-order or a fourth-order finite difference …

In this article, we revisit the adjoint consistency analysis of Discontinuous Galerkin
discretizations of the compressible Euler and Navier–Stokes equations with application to …