E-Dissertationen: Search
Now showing items 331-340 of 384
Scalable Algorithms for Parallel Tree-based Adaptive Mesh Refinement with General Element Types
(2018-12-12)
In this thesis, we develop, discuss and implement algorithms for scalable parallel tree-based adaptive mesh refinement (AMR) using space-filling curves (SFCs). We create an AMR software that works independently of the used ...
G-theory of group rings for finite groups
(2018-12-13)
In this thesis we investigate Quillen's G-theory of group rings mostly focusing on the case of finite groups. We study the Hambleton-Taylor-Williams decomposition conjecture for G-theory of the integral group rings. The ...
On discrete surfaces: Enumerative geometry, matrix models and universality classes via topological recursion
(2019-03-21)
The main objects under consideration in this thesis are called maps, a certain class of graphs embedded on surfaces. We approach our study of these objects from different perspectives, namely bijective combinatorics, matrix ...
Scalable parallel simulation of variably saturated flow
(2019-03-19)
In this thesis we develop highly accurate simulation tools for variably saturated flow through porous media able to take advantage of the latest supercomputing resources. Hence, we aim for parallel scalability to very large ...
Assembly Maps and Pseudoisotopy Functors
(2019-05-03)
In this thesis we show the existence of a stable, smooth pseudoisotopyfunctor and construct in the topological, piecewise linear, and smooth category a zig-zag of natural weak equivalences between the stable pseudoisotopyfunctor ...
Uniform estimates in one- and two-dimensional time-frequency analysis
(2019-02-22)
This thesis is concerned with two special cases of the singular Brascamp-Lieb inequality, namely, the trilinear forms corresponding to the one- and two-dimensional bilinear Hilbert transform. In this work we study the ...
On the effective properties of suspensions
(2019-02-04)
Einstein's formula for the viscosity of dilute suspensions describes how rigid particles immersed in a Stokes-fluid increase its macroscopic viscosity in terms of the particle volume density ∅. However, up to now, a rigorous ......
Sparse representation of multivariate functions based on discrete point evaluations
(2019-01-22)
Functions provide one of the most important building blocks for model descriptions of reality. Central point of this thesis is the approximation of multivariate functions using Faber-Schauder hat functions. In the first ...
Timing-Constrained Global Routing with RC-Aware Steiner Trees and Routing Based Optimization
(2019-06-14)
In this thesis we consider the global routing problem, which arises as one of the major subproblems in the physical design step in VLSI design. In global routing, we are given a three-dimensional grid graph G with edge ...
Improved Cardinality Bounds for Rectangle Packing Representations
(2019-05-29)
Axis-aligned rectangle packings can be characterized by the set of spatial relations that hold for pairs of rectangles (west, south, east, north). A representation of a packing consists of one satisfied spatial relation ...