Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Potthast, Roland Prof. Dr."
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On Localization and Multiscale in Data Assimilation
(20170601)The main goal of inverse problems is the reconstruction of unknown quantities, often they are located in an inaccessible part of space. Data assimilation, which is the integration of inverse problems techniques with dynamical ... 
Field and Shape Reconstruction in Fluid Dynamics
(20110720)Inverse problems are concerned with the reconstruction of quantities from remote measurements. Inverse fluid flow problems are important for many applications, for example for determining ... 
Integral Equation Methods for Rough Surface Scattering Problems in three Dimensions
(20080515)We consider the scattering of time harmonic acoustic waves by a sound soft rough surface in three dimensions. The analysis we develop holds in the case that the incident wave is due to a point source situated above ... 
Numerical study of an evolutionary algorithm for electrical impedance tomography
(20080303)We consider the twodimensional inverse electrical impedance problem without apriori information. There, we want to reconstruct the conductivity inside a conducting object from currents and voltages applied at its ... 
A Hybrid Method for Inverse Obstacle Scattering Problems
(20070530)We are interested in solving the timeharmonic inverse acoustic scattering problem. In this work, we present the state of the art of a new iterative method to numerically solve this problem. ... 
Generic Programming and Algebraic Multigrid for Stabilized Finite Element Methods
(20070228)Two topics are in the focus of this thesis. On the one hand, the generic construction of efficient datastructures for various purposes in numerical linear algebra, and on the other hand, ... 
Theory and Numerics for Shape Optimization in Superconductivity
(20060918)We consider a mathematical model for a thin superconducting film which is magnetically shielded by permanent magnets in order to improve the current carrying capability of the film. In a ... 
Magnetic Tomography
(20060324)We consider the inverse problem of reconstructing a current distribution from its magnetic field that is called magnetic tomography. We study uniqueness issues by investigating the mapping ... 
Point Source Approximation Methods in Inverse Obstacle Reconstruction Problems
(20060209)We consider point source approximation methods for the solution of inverse object reconstruction problems for the Laplace and the Helmholtz equation. We present a twostep algorithm to ... 
Charakterisierung eines Gebiets durch Spektraldaten eines Dirichletproblems zur Stokesgleichnung
(20040217)We consider an inverse boundary value problem associated with the Stokes equation (in two and in three dimensions) and Dirichlet boundary condition.This problem requires the reconstruction of the ... 
Direktes und inverses Randwertproblem für einen Crack mit Impedanzrandbedingung
(20031125)We consider both direct and inverse scattering problems for an open arc in a plane with an impedance boundary condition.This thesis is divided into two main parts: In the first part we ...