Additive manufacturing (AM) processes have proven to be a perfect match for topology
optimization (TO), as they are able to realize sophisticated geometries in a unique layer-by …

Large-scale structural topology optimization has always suffered from prohibitively high
computational costs that have till date hindered its widespread use in industrial design. The …

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 …

Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …

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

Research on multigrid methods for optimization problems is reviewed. Optimization
problems considered include shape design, parameter optimization, and optimal control …

In this paper, we present an a posteriori error analysis for finite element approximation of
distributed convex optimal control problems. We derive a posteriori error estimates for the …

Alternative formulations for optimization and simulation of structural and mechanical systems
and other related fields are reviewed. The material is divided roughly into two parts. Part 1 …

This book gives an introduction to iterative methods and preconditioning for solving
discretized elliptic partial differential equations (PDEs) and optimal control problems …

PDE-constrained optimization refers to the optimization of systems governed by PDEs. The
simulation problem is to solve the PDEs for the state variables (eg, displacement, velocity …