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Dissertation
Existence and Regularity Results of a Ferroelectric Phase-Field Model
(2019)
In this thesis, we investigate the existence and regularity results of a ferroelectric phase-field model, which is a state-of-the-art model arising in recent years from the engineering area for the ferroelectric study.
Dissertation
Automatic computation of continued fraction representations as solutions of explicit differential equations
(2019)
The main focus of this thesis is to present a variation of an algorithm first presented by Maulat and Salvy, with which it is possible to algorithmically guess as well as prove continued fraction expansions of analytical expressions with the help of ordinary differential equations.
Aufsatz
Numerical Solution of Viscoelastic Fluid-Structure-Diffusion Systems with Applications in Ophthalmology
(2019-09-04)
The research of fluid-structure interaction problems is a continuously growing field, especially regarding applications in medicine and biology. We present the coupling of a potentially viscoelastic fluid with multiple hyperelastic structures incorporating chemical processes in the arbitrary Lagrangian Eulerian framework. This monolithic formulation allows a robust numerical solution with Newton's method. The discretization is based on the backward Euler scheme for temporal discretization and the Galerkin finite ...
Aufsatz
Lenticular Imaging: A New Experimental and Quantitative Analysis of Capsular Dynamics, “Choi-Apple View”
(2019-05)
Purpose: Development of a means for quantitative estimation of lenticular and zonular dynamics by using real-time imaging of human autopsy eyes during implantation of different intraocular lens (IOL) models.
Methods: Isolated lenticular structures from human autopsy eyes were prepared in vitro. The following IOLs were implanted: a one-piece C-loop haptic IOL, a three-piece C-loop haptic IOL, and a one-piece plate-type IOL. The amount of deformation of lenticular structures during implantation was calculated and ...