Shape optimization based on the shape calculus is numerically mostly performed using
steepest descent methods. This paper provides a novel framework for analyzing shape …

This paper presents a framework for the simultaneous application of shape and topology
optimization in electro-mechanical design problems. Whereas the design variables of a …

This paper presents a framework for the topology optimization of electro-mechanical design
problems. While the design is parametrized by means of a level set function defined on a …

We develop and analyze a class of efficient Galerkin approximation methods for uncertainty
quantification of nonlinear operator equations. The algorithms are based on sparse Galerkin …

In this paper we study shape derivatives of solutions of acoustic and elec-tromagnetic
scattering problems in frequency domain from the perspective of differential forms following …

Boundary element methods are a well-established technique for solving linear boundary
value problems for electrostatic potentials. In this context we present a novel way to …

In this paper, we present a robust formulation to address nonlinear equality-constrained and
inequality-constrained multi-objective optimization problems for multi-cell accelerating …

This work addresses the magnetoquasistatic approximation of Maxwell's equations with
uncertainties in material data, shape and current sources, originating, eg, from …

In this article, we study Poincaré maps of harmonic fields in toroidal domains using a shape
variational approach. Given a bounded domain of\(\mathbb {R}^ 3\), we define its harmonic …

We consider the unit ball Ω⊂ RN (N≥ 2) filled with two materials with different
conductivities. We perform shape derivatives up to the second order to find out precise …