6 citations · 18 across the 7 of their papers we have counts for
7 papers
Finite element solution of a radiation/propagation problem for a Helmholtz equation with a compactly supported nonlinearity
Lutz Angermann
A finite element approach for approximating the solution of a mathematical model for the response of a penetrable, bounded object (obstacle) to the excitation by an external electr…
An Energy Stable Discontinuous Galerkin Time-Domain Finite Element Method in Optics and Photonics
Asad Anees, Lutz Angermann
In this paper, a time-domain discontinuous Galerkin (TDdG) finite element method for the full system of Maxwell's equations in optics and photonics is investigated, including a com…
A radiation and propagation problem for a Helmholtz equation with a compactly supported nonlinearity
Lutz Angermann
The present work describes some extensions of an approach, originally developed by V.V. Yatsyk and the author, for the theoretical and numerical analysis of scattering and radiatio…
Error estimates for completely discrete FEM in energy-type and weaker norms
Lutz Angermann, Peter Knabner, Andreas Rupp
The paper presents error estimates within a unified abstract framework for the analysis of FEM for boundary value problems with linear diffusion-convection-reaction equations and b…
Semi-discrete finite element approximation applied to Maxwell's equations in nonlinear media
Lutz Angermann
In this paper the semi-discrete finite element approximation of initial boundary value problems for Maxwell's equations in nonliear media of Kerr-type is investigated. For the case…
Interpolation, projection and hierarchical bases in discontinuous Galerkin methods
Lutz Angermann, Christian Henke
The paper presents results on piecewise polynomial approximations of tensor product type in Sobolev-Slobodecki spaces by various interpolation and projection techniques, on error e…
-boundedness of DG()-solutions for nonlinear conservation laws with boundary conditions
Lutz Angermann, Christian Henke
We prove the -boundedness of a higher-order shock-capturing streamline-diffusion DG-method based on polynomials of degree for general scalar conservat…