5 citations · 6 across the 4 of their papers we have counts for
5 papers · 1 filter
Isogeometric shape optimization for scaffold structures
Helmut Harbrecht, Michael Multerer, Remo von Rickenbach
The development of materials with specific structural properties is of huge practical interest, for example, for medical applications or for the development of light weight structu…
Space-time multilevel quadrature methods and their application for cardiac electrophysiology
Seif Ben Bader, Helmut Harbrecht, Rolf Krause +3
We present a novel approach which aims at high-performance uncertainty quantification for cardiac electrophysiology simulations. Employing the monodomain equation to model the tran…
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering
Jürgen Dölz, Helmut Harbrecht, Carlos Jerez-Hanckes +1
We study the numerical solution of forward and inverse acoustic scattering problems by randomly shaped obstacles in three-dimensional space using a fast isogeometric boundary eleme…
A fast direct solver for nonlocal operators in wavelet coordinates
Helmut Harbrecht, Michael Multerer
In this article, we consider fast direct solvers for nonlocal operators. The pivotal idea is to combine a wavelet representation of the system matrix, yielding a quasi-sparse matri…
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM
Helmut Harbrecht, Marc Schmidlin
Elliptic boundary value problems which are posed on a random domain can be mapped to a fixed, nominal domain. The randomness is thus transferred to the diffusion matrix and the loa…