61 citations · 78 across the 8 of their papers we have counts for
11 papers
A Low-Frequency-Stable Higher-Order Isogeometric Discretization of the Augmented Electric Field Integral Equation
Maximilian Nolte, Riccardo Torchio, Sebastian Schöps +3
This contribution investigates the connection between isogeometric analysis and integral equation methods for full-wave electromagnetic problems up to the low-frequency limit. The…
Accelerating Brain Simulations with the Fast Multipole Method
Hannah Nöttgen, Fabian Czappa, Felix Wolf
The brain is probably the most complex organ in the human body. To understand processes such as learning or healing after brain lesions, we need suitable tools for brain simulation…
Accelerated Computations of Sensitivities for xVA
Griselda Deelstra, Lech A. Grzelak, Felix L. Wolf
Exposure simulations are fundamental to many xVA calculations and are a nested expectation problem where repeated portfolio valuations create a significant computational expense. S…
Solving Maxwell's Eigenvalue Problem via Isogeometric Boundary Elements and a Contour Integral Method
Stefan Kurz, Sebastian Schöps, Gerhard Unger +1
We solve Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method. We discuss the analytic properties of the discretisation, outline the implem…
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…
Bisimulation Invariant Monadic-Second Order Logic in the Finite
Achim Blumensath, Felix Wolf
We consider bisimulation-invariant monadic second-order logic over various classes of finite transition systems. We present several combinatorial characterisations of when the expr…
A Numerical Comparison of an Isogeometric and a Classical Higher-Order Approach to the Electric Field Integral Equation
Jürgen Dölz, Stefan Kurz, Sebastian Schöps +1
In this paper, we advocate a novel spline-based isogeometric approach for boundary elements and its efficient implementation. We compare solutions obtained by both an isogeometric…
Isogeometric Boundary Elements in Electromagnetism: Rigorous Analysis, Fast Methods, and Examples
Jürgen Dölz, Stefan Kurz, Sebastian Schöps +1
We present a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods. Starting with an investigation of the theoretical…
Multipatch Approximation of the de Rham Sequence and its Traces in Isogeometric Analysis
Annalisa Buffa, Jürgen Dölz, Stefan Kurz +3
We define a conforming B-spline discretisation of the de Rham complex on multipatch geometries. We introduce and analyse the properties of interpolation operators onto these spaces…
Recent Advances of Isogeometric Analysis in Computational Electromagnetics
Zeger Bontinck, Jacopo Corno, Herbert De Gersem +8
In this communication the advantages and drawbacks of the isogeometric analysis (IGA) are reviewed in the context of electromagnetic simulations. IGA extends the set of polynomial…
A Fast Isogeometric BEM for the Three Dimensional Laplace- and Helmholtz Problems
Jürgen Dölz, Helmut Harbrecht, Stefan Kurz +2
We present an indirect higher order boundary element method utilising NURBS mappings for exact geometry representation and an interpolation-based fast multipole method for compress…