1 citations · 1 across the 2 of their papers we have counts for
5 papers
Shape optimization for composite materials and scaffolds
Marc Dambrine, Helmut Harbrecht
This article combines shape optimization and homogenization techniques by looking for the optimal design of the microstructure in composite materials and of scaffolds. The developm…
On the numerical solution of a time-dependent shape optimization problem for the heat equation
Rahel Brügger, Helmut Harbrecht, Johannes Tausch
This article is concerned with the solution of a time-dependent shape identification problem. Specifically we consider the heat equation in a domain, which contains a time-dependen…
Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation
J. Dölz, H. Harbrecht, S. Kurz +3
In this article, we present Bembel, the C++ library featuring higher order isogeometric Galerkin boundary element methods for Laplace, Helmholtz, and Maxwell problems. Bembel is co…
Minimal energy problems for strongly singular Riesz kernels
Helmut Harbrecht, Wolfgang L. Wendland, Natalia Zorii
We study minimal energy problems for strongly singular Riesz kernels on a manifold. Based on the spatial energy of harmonic double layer potentials, we are motivated to formulate t…
Shape optimization for quadratic functionals and states with random right-hand sides
M. Dambrine, C. Dapogny, H. Harbrecht
In this work, we investigate a particular class of shape optimization problems under uncertainties on the input parameters. More precisely, we are interested in the minimization of…