61 citations · 106 across the 13 of their papers we have counts for
8 papers · 1 filter
The Johnson-Nédélec FEM-BEM Coupling for magnetostatic problems in the isogeometric framework
Mehdi Elasmi, Christoph Erath, Stefan Kurz
We consider a Johnson-Nédélec FEM-BEM coupling, which is a direct and non-symmetric coupling of finite and boundary element methods, in order to solve interface problems for the ma…
Non-symmetric isogeometric FEM-BEM couplings
Mehdi Elasmi, Christoph Erath, Stefan Kurz
We present a coupling of the Finite Element and the Boundary Element Method in an isogeometric framework to approximate either two-dimensional Laplace interface problems or boundar…
Functional a posteriori error estimates for boundary element methods
Stefan Kurz, Dirk Pauly, Dirk Praetorius +2
Functional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work p…
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…
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…