5 papers
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…