6 papers
On robustly convergent and efficient iterative methods for anisotropic radiative transfer
Jürgen Dölz, Olena Palii, Matthias Schlottbom
This paper considers the iterative solution of linear systems arising from discretization of the anisotropic radiative transfer equation with discontinuous elements on the sphere.…
A fast and oblivious matrix compression algorithm for Volterra integral operators
Jürgen Dölz, Herbert Egger, Vsevolod Shashkov
The numerical solution of dynamical systems with memory requires the efficient evaluation of Volterra integral operators in an evolutionary manner. After appropriate discretisation…
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 convolution quadrature method for Maxwell's equations in dispersive media
Jürgen Dölz, Herbert Egger, Vsevolod Shashkov
We study the systematic numerical approximation of Maxwell's equations in dispersive media. Two discretization strategies are considered, one based on a traditional leapfrog time i…
A higher order perturbation approach for electromagnetic scattering problems on random domains
Jürgen Dölz
We consider time-harmonic electromagnetic scattering problems on perfectly conducting scatterers with uncertain shape. Thus, the scattered field will also be uncertain. Based on th…
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…