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This book introduces, in an accessible way, the basic elements of Numerical PDE-
Constrained Optimization, from the derivation of optimality conditions to the design of …

Flow control and optimization is at once an old and a new subject of mathematical and
engineering interest. It has fascinated many great minds, among them those of Newton and …

This study investigates a fictitious domain model for the numerical solution of various
incompressible viscous flows. It is based on the so‐called Navier–Stokes/Brinkman and …

A new Galerkin finite element method for the solution of the Navier–Stokes equations in
enclosures containing internal parts which may be moving is presented. Dubbed the virtual …

In this article we discuss the application of a distributed Lagrange multiplier based fictitious
domain method to the numerical simulation of incompressible viscous flow modelled by the …

The use of gradient-based optimization algorithms in inverse design is well established as a
practical approach to aerodynamic design. A typical procedure uses a simulation scheme to …

We present some systematic approaches to the mathematical analysis and numerical
approximation of the time dependent optimal control problem of tracking the velocity for …

Embedded boundary methods for CFD (computational fluid dynamics) simplify a number of
issues. These range from meshing the fluid domain, to designing and implementing Eulerian …

A general method based on adjoint formulation is discussed for the optimal control of
distributed parameter systems (including boundary parameter) which is especially suitable …