This book places data assimilation (DA) into the broader context of inverse problems and the
theory, methods, and algorithms that are used for their solution. It strives to provide a …

In this paper we demonstrate a new technique for deriving discrete adjoint and tangent
linear models of a finite element model. The technique is significantly more efficient and …

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

Abstract The Vertex Morphing method, a consistent surface control approach for shape
optimization is presented. This method introduces a control field and a map that relates it to …

Large-scale three-dimensional aerodynamic shape optimization based on the compressible
Euler equations is considered. Shape calculus is used to derive an exact surface formulation …

Efficient shape optimization for certain and uncertain aerodynamic design - ScienceDirect
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A generic framework for the solution of PDE-constrained optimisation problems based on
the FEniCS system is presented. Its main features are an intuitive mathematical interface, a …

As such comma the present work seeks to derive the expression for the shape deriva
hyphen tive of a general objective function using an incompressible Navier endash Stokes …

In this paper, we present a framework for automated shape differentiation in the finite
element software NGSolve. Our approach combines the mathematical Lagrangian approach …

We consider shape optimization problems subject to elliptic partial differential equations. In
the context of the finite element method, the geometry to be optimized is represented by the …