This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …

This work reviews goal-oriented a posteriori error control, adaptivity and solver control for
finite element approximations to boundary and initial-boundary value problems for stationary …

In this paper we derive a posteriori error estimates for space-time finite element
discretizations of parabolic optimization problems. The provided error estimates assess the …

Efficient shape optimization for certain and uncertain aerodynamic design - ScienceDirect
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We derive a unifying framework for the a posteriori error analysis of control constrained
linear-quadratic optimal control problems. We consider finite element discretizations with …

This paper develops a combined a posteriori analysis for the discretization and iteration
errors in the computation of finite element approximations to elliptic boundary value …

Most physical phenomena are significantly affected by uncertainties associated with
variations in properties and fluctuations in operating conditions. This has to be reflected also …

This paper presents a finite element method for solving the resonance line transfer problem
in moving media. The algorithm is capable of dealing with three spatial dimensions, using …

This article surveys recent developments in the adaptive numerical solution of optimal
control problems governed by partial differential equations (PDE). By the Euler‐Lagrange …

In this paper, we study the numerical solution of optimal control problems governed by a
system of convection–diffusion PDEs with nonlinear reaction terms, arising from chemical …