Mathematisch-Naturwissenschaftliche Fakultät: Suche
Anzeige der Dokumente 21-26 von 26
Zero Partition Cycles: A Recursive Formula for Characteristic Classes of Surface Bundles
(2017-04-25)
This thesis is concerned with characteristic classes of surface bundles. A complete description of the ring of stable rational characteristic classes is given by the work of Madsen and Weiss as the polynomial ring in the ...
Class forcing and second-order arithmetic
(2017-04-24)
We provide a framework in a generalization of Gödel-Bernays set theory for performing class forcing. The forcing theorem states that the forcing relation is a (definable) class in the ground model (definability lemma) and ...
Modeling and Simulation of cracks and fractures with peridynamics in brittle materials
(2017-04-24)
Today, ceramic materials are an essential component of batteries for electric cars. One key feature of this kind of battery is the safety of the ceramic core. Here, the precise approximation of the evolution of damage after ...
A phase-field model of dislocations on parallel slip planes
(2017-03-10)
We expand the Peierls-Nabarro phase-field model of dislocations on one active slip plane introduced by Koslowski, Cuitiño, and Ortiz to the case of multiple parallel slip planes embedded into a homogeneous anisotropic ...
Error analysis of regularized and unregularized least-squares regression on discretized function spaces
(2017-01-04)
In this thesis, we analyze a variant of the least-squares regression method which operates on subsets of finite-dimensional vector spaces.
In the first part, we focus on a regression problem which is constrained to ...
In the first part, we focus on a regression problem which is constrained to ...
Plasticity as the Γ-limit of a Dislocation Energy
(2017-07-19)
In this thesis, we derive macroscopic crystal plasticity models from mesoscopic dislocation models by means of Γ-convergence as the interatomic distance tends to zero. Crystal plasticity is the effect of a crystal undergoing ...