Webrelaunch 2020

Former Fellows

Former PostDocs



Former PhD students

Branimir Anić

Title of
dissertation:
The Fourier-Galerkin Method for Band Structure Computations of 2D and 3D Photonic Crystals (Link to online source)
Supervisors:Prof. Dr. Dörfler, Prof. Dr. Hochbruck

Bernhard Barth

Title of
dissertation:
The Bloch Transform on Lp-Spaces (Link to online source)
Supervisors:Prof. Dr. Weis, Prof. Dr. Schnaubelt

Carsten Blank

Title of
dissertation:
On the Existence of Breathers Solutions in non-linear Klein--Gordon equations with periodic coefficients (Link to online source)
Supervisors:Prof. Dr. Schneider, Prof. Dr. Plum

Elisabeth Blank

Title of
dissertation:
The Discontinuous Galerkin Method for Maxwell's Equations: Application to Bodies of Revolution and Kerr-Nonlinearities (Link to online source)
Supervisors:Prof. Dr. Doerfler, Prof. Dr. Busch, Prof. Dr. Wieners

Tatiana Bulovyatova

Title of
dissertation:
Numerical methods of localization of Wannier functions in modeling of Photonic Crystals (Link to online source)
Supervisors:Prof. Dr. Dörfler, Prof. Dr. Wieners

Alexander Bulovyatov

Title of
dissertation:
A parallel multigrid method for band structure computation of 3D photonic crystals with higher order finite elements (Link to online source)
Supervisors:Prof. Dr. Wieners, Prof. Dr. Dörfler

Markus Bürg (Link to new Website)

Title of
dissertation:
A Fully Automatic hp-Adaptive Refinement Strategy (Link to online source)
Supervisors:Prof. Dr. Dörfler, Prof. Dr. Wieners

Martina Chirilus-Bruckner

Title of
dissertation:
Nonlinear interaction of pulses (Link to online source)
Supervisors:Prof. Dr. Schneider, Prof. Dr. Plum

Christopher Chong (Link to new Website)

Title of
dissertation:
Modelling optical technologies with continuous and discrete nonlinear Schrödinger equations (Link to online source)
Supervisors:Prof. Dr. Schneider, Prof. Dr. Plum

Abdullah Demirel

Title of
dissertation:
Eine flexible Klasse von local time stepping Verfahren (Link to online source)
Supervisors:Prof. Dr. Hochbruck, Prof. Dr. Jahnke

Hans-Jürgen Freisinger

Title of
dissertation:
Grenzflächenprobleme bei der nichtlinearen Schrödingergleichung (Link to online source)
Supervisors:Prof. Dr. Reichel, Prof. Dr. Plum

Thomas Gauss

Title of
dissertation:
Floquet Theory for a Class of Periodic Evolution Equations in an L_p-Setting (Link to online source)
Supervisors:Prof. Dr. Weis, Prof. Dr. Schnaubelt

Hannes Gerner

Title of
dissertation:
Stetige Galerkinverfahren für zeitabhängige Maxwellgleichungen mit Kerr-Nichtlinearität (Link to online source)
Supervisors:Prof. Dr. Dörfler, Prof. Dr. Jahnke

Axel Krämer

Title of
dissertation:
Adaptivity in Bandstructure Calculations of Photonic Crystals (Link to online source)
Supervisors:Prof. Dr. Dörfler, PD Dr. Neuß

Armin Lechleiter (Link to new Website)

Title of
dissertation:
Factorization methods for photonics and rough surfaces (Link to online source)
Supervisors:Prof. Dr. Kirsch, Prof. Dr. Rieder

Haojun Li

Title of
dissertation:
Numerical simulation of a micro-ring resonator with adaptive wavelet collocation method (Link to online source)
Supervisors:Prof. Dr. Rieder, Prof. Dr. Kirsch

Rainer Mandel (Link to Website)

Title of
dissertation:
Ground states, bifurcations and singular solutions of nonlinear Schrödinger systems
Supervisors:Prof. Dr. Reichel, Prof. Dr. Plum

Dominik Müller

Title of
dissertation:
Well-posedness for a general class of quasilinear evolution equations - with applications to Maxwell's equations (Link to online source)
Supervisors:Prof. Dr. Schnaubelt, Prof. Dr. Weis

Tomislav Pažur

Title of
dissertation:
Error analysis of implicit and exponential time integration of linear Maxwell's equations (Link to online source)
Supervisors:Prof. Dr. Hochbruck, Prof. Dr. Wieners

Maria Radosz

Title of
dissertation:
The Principles of Limit Absorption and Limit Amplitude for Periodic Operators (Link to online source)
Supervisors:Prof. Dr. Plum, Prof. Dr. Kirsch

Melanie Reimers

Title of
dissertation:
Nichtlineare photonische Kristalle: Computerunterstützter Beweis einer spektralen Bandlücke (Link to online source)
Supervisors:Prof. Dr. Plum, Prof. Dr. Wieners

Markus Richter

Title of
dissertation:
Optimization of Photonic Band Structures (Link to online source)
Supervisors:Prof. Dr. Dörfler, Prof. Dr. Wieners

Staffan, Ronnas

Title of
dissertation:
hp-FEM for Two-component Flows with Applications in Optofluidics (Link to online source)
Supervisors:Prof. Dr. Vincent Heuveline, Prof. Dr. Willy Dörfler

Kai Sandfort (Link to new Website)

Title of
dissertation:
The factorisation method for scattering at periodic inhomogeneous media (Link to online source)
Supervisors:Prof. Dr. Kirsch, PD Dr. Hettlich

Philipp Schmalkoke

Title of
dissertation:
On the Spectral Properties of Dispersive Photonic Crystals (Link to online source)
Supervisors:Prof. Dr. Plum, Prof. Dr. Schnaubelt

Arne Schneck

Title of
dissertation:
Bounds for optimization of the reflection coefficient by constrained optimization in Hardy spaces (Link to online source)
Supervisors:Prof. Dr. Rieder, Prof. Dr. Kirsch

Anton Verbitsky

Title of
dissertation:
Positive Solutions for the Discrete Nonlinear Schrödinger Equation: A Priori Estimates and Convergence (Link to online source)
Supervisors:Prof. Dr. Reichel, Prof. Dr. Dörfler

Jiping Xin

Title of
dissertation:
Boundary Element Approximation for Maxwell's Eigenvalue Problem (Link to online source)
Supervisors:Prof. Dr. Wieners, Prof. Dr. Dörfler