no code implementations • 29 Dec 2023 • Maja Rudolph, Stefan Kurz, Barbara Rakitsch
In this paper, we provide four base patterns that can serve as blueprints for combining data-driven components with domain knowledge into a hybrid approach.
no code implementations • 10 Jul 2018 • Jürgen Dölz, Stefan Kurz, Sebastian Schöps, Felix Wolf
In this paper, we advocate a novel spline-based isogeometric approach for boundary elements and its efficient implementation.
Computational Engineering, Finance, and Science
no code implementations • 9 Jul 2018 • Jürgen Dölz, Stefan Kurz, Sebastian Schöps, Felix Wolf
We present a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods.
Numerical Analysis Numerical Analysis 65D07, 65N38, 65Y20
no code implementations • 4 Jun 2018 • Annalisa Buffa, Jürgen Dölz, Stefan Kurz, Sebastian Schöps, Rafael Vázques, Felix Wolf
the respective energy spaces and provide approximation properties of the spline discretisations of trace spaces for application in the theory of isogeometric boundary element methods.
Numerical Analysis Numerical Analysis 65D07, 65N38
no code implementations • 30 Aug 2017 • Jürgen Dölz, Helmut Harbrecht, Stefan Kurz, Sebastian Schöps, Felix Wolf
We present an indirect higher order boundary element method utilising NURBS mappings for exact geometry representation and an interpolation-based fast multipole method for compression and reduction of computational complexity, to counteract the problems arising due to the dense matrices produced by boundary element methods.
Numerical Analysis 65M38 G.1.8; G.1.2
