34 citations · 141 across the 12 of their papers we have counts for
4 papers · 1 filter
Stochastic Modeling and Regularity of the Nonlinear Elliptic Curl-Curl Equation
Ulrich Römer, Sebastian Schöps, Thomas Weiland
This paper addresses the nonlinear elliptic curl-curl equation with uncertainties in the material law. It is frequently employed in the numerical evaluation of magnetostatic fields…
A Space-Time Discontinuous Galerkin Trefftz Method for time dependent Maxwell's equations
Herbert Egger, Fritz Kretzschmar, Sascha M. Schnepp +1
We consider the discretization of electromagnetic wave propagation problems by a discontinuous Galerkin Method based on Trefftz polynomials. This method fits into an abstract frame…
Transparent boundary conditions in a Discontinuous Galerkin Trefftz method
Herbert Egger, Fritz Kretzschmar, Sascha M. Schnepp +2
The modeling and simulation of electromagnetic wave propagation is often accompanied by a restriction to bounded domains which requires the introduction of artificial boundaries. T…
Non-dissipative space-time -discontinuous Galerkin method for the time-dependent Maxwell Equations
Martin Lilienthal, Sascha M. Schnepp, Thomas Weiland
A finite element method for the solution of the time-dependent Maxwell equations in mixed form is presented. The method allows for local -refinement in space and in time. To th…