For details, please refer to the curriculum of the given doctoral program as the online course cataloge KUSSS. Prospective doctoral students should send their applications to Univ. PhD thesis as PDF file 1. The global solution is then constructed iteratively from the repeated solution of local problems. Tanja Jardin Computer-aided cooperative learning We prove rigorous bounds for the condition number of the preconditioned FETI system that depend only on the coefficient variation in the vicinity of the subdomain interfaces.
The gradient fields of higher-order H 1 -conforming shape functions are H curl -conforming and can be chosen explicitly as shape functions for H curl. The dissertation itself is usually written cumulatively, i. Leszek Demkowicz , University of Texas at Austin. The fact that this exterior domain can touch arbitrarily many interior subdomains and that the diameter of its boundary is larger than those of the interior subdomains leads to special difficulties in the analysis. Furthermore, the bound is independent of jumps in the diffusion coefficient across subdomain interfaces. Ulrich Langer External Referee: Generally, the dissertations written in our department are based on quantitative-empirical research studies.
Numerical examples illustrate the robustness and performance of the method. The main contribution of this work is a general, unified construction principle for H curl – and H div -conforming finite elements of variable and arbitrary order for various element topologies suitable for unstructured hybrid meshes.
We provide explicit condition number bounds that depend on a few geometric parameters, and which are quasi-optimal in special cases. Our results are again confirmed in numerical experiments.
Johannes Kepler University Linz (Linz/Austria) – JKU goes Gender – prize for dissertation
Finite and boundary element discretizations of elliptic partial differential equations result in large linear systems of algebraic equations. Second, we consider elliptic equations with highly heterogeneous coefficient distributions. Timo Gnambs Toward an assessment of generalized opinion leadership: Klaus Priller The role of interpersonal influence among the elderly in dealing with information and communication technologies Dipl. The dissertation itself is usually written cumulatively, i.
For details, please refer to the curriculum of the given doctoral program as the online course cataloge KUSSS. PhD thesis as PDF file 1.
The global solution is then constructed iteratively from the repeated solution of local problems. Robust Schwarz-type methods for Maxwell’s equations rely on a FE-space splitting, which also has to provide a correct splitting of the kernel of the curl-operator.
Since the desired eigenfunctions belong to the orthogonal complement of the gradient functions, we have to perform an orthogonal projection in each iteration step. Further disertation advantages will be discussed by means of the following two issues. A short outline of the construction is as follows.
The main difficulty in the construction of efficient and parameter-robust preconditioners for electromagnetic problems diszertation indicated by the different scaling of solenoidal and irrotational fields in the curl-curl problem.
Wearable Tracking Technology Mag. First, we consider the case of unbounded domains, where one subdomain corresponds to an exterior problem, while the other subdomains sissertation bounded. Prospective doctoral students should send their applications to Univ. Behaviour, Risk Taking and Personality Asc.
NUMA – PhD Theses – Sabine Zaglmayr
Our results are confirmed in numerical experiments. We also demonstrate that FETI preconditioners can lead to robust behavior even for certain coefficient distributions that are highly varying in the vicinity of the subdomain interfaces. The exterior problem is approximated using the boundary element method. PhD thesis as PDF file 2. Tanja Jardin Computer-aided cooperative learning In particular, the condition number of the corresponding preconditioned system is bounded in terms of a logarithmic expression in the local problem size.
In the next step we extend the gradient functions to a hierarchical and conforming basis of the desired polynomial space.
For its solution we use the subspace version of the locally optimal preconditioned gradient method.
Lihz main advantage is that we can choose an arbitrary polynomial order on each edge, face, and cell without destroying the global exact sequence. Generally, the dissertations written in our department are based on quantitative-empirical research studies.
NUMA: Finished PhD Theses – Dipl.-Ing. Clemens Pechstein
The role of interpersonal influence among the elderly in dealing with information and communication technologies. Leszek DemkowiczUniversity of Texas at Austin.
Bernad Batinic including an explanation of the topic of interest as well as a short CV including a list of any publications and conference contributions. Toward an assessment of disseertation opinion leadership: We prove rigorous bounds for the condition number of the dissertatiom FETI system that depend only on the coefficient variation in the vicinity of the subdomain interfaces. Due to the local exact sequence property this is already satisfied for simple splitting strategies.