Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor "Potthast, Roland Prof. Dr."
Now showing items 1-6 of 6
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On Localization and Multiscale in Data Assimilation
(2017-06-01)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
(2011-07-20)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 ... -
Field reconstructions and range tests for acoustics and electromagnetics in homogeneous and layered media
(2008-06-02)In acoustic and electromagnetic scattering various methods for the reconstruction of the shape of an unknown object are examined. In particular, the multiwave range test is developed based ... -
Integral Equation Methods for Rough Surface Scattering Problems in three Dimensions
(2008-05-15)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 ... -
Magnetic Tomography
(2006-03-24)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
(2006-02-09)We consider point source approximation methods for the solution of inverse object reconstruction problems for the Laplace and the Helmholtz equation. We present a two-step algorithm to ...