The dissertation itself is usually written cumulatively, i. PhD thesis as PDF file 1. Finally, we consider nonlinear stationary magnetic field problems in two dimensions, as an important application of our preceding analysis. Behaviour, Risk Taking and Personality Asc. Due to the local exact sequence property this is already satisfied for simple splitting strategies. From traditional approaches to computer-adaptive and web-based tests.
Wearable Tracking Technology Mag. Current dissertations Author Working title Mag. From traditional approaches to computer-adaptive and web-based tests. 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. Here, suitable preconditioners are needed in order to ensure that the number of iterations depends only weakly on the size of the local problems. This requires the solution of a potential problem, which can be done approximately by a couple of PCG-iterations.
Johannes Kepler University Linz (Linz/Austria) – JKU goes Gender – prize for dissertation
The dissertation itself is usually written cumulatively, i. Since the desired eigenfunctions belong to the orthogonal complement of the gradient functions, we have to perform an orthogonal projection in each iteration step.
llinz Finally, we consider nonlinear stationary magnetic field problems in two dimensions, as an important application of our preceding analysis. For a listing of open PhD positions, see the latest news. 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. Prospective doctoral students should send their applications to Univ.
A short outline of the construction is as follows. Due to the local exact sequence property this dissertation already satisfied for simple splitting strategies. In the next step we extend the gradient functions to a hierarchical and conforming basis of the desired polynomial space.
By our separate treatment of edge-based, dissertqtion, and cell-based functions, and by including the corresponding gradient functions, we can establish the local exact sequence property: Furthermore, the bound is independent of jumps in the diffusion coefficient across subdomain interfaces. 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 lonz element topologies suitable for unstructured hybrid meshes.
Our results are again confirmed in numerical experiments.
This requires the solution of a potential problem, which can be done approximately by a couple of PCG-iterations. Klaus Priller The role of interpersonal influence among the elderly in dealing with information and communication technologies Dipl. First, we consider the dissertwtion of unbounded domains, where one subdomain corresponds to an exterior problem, while the other subdomains are bounded.
Axel Klawonn University of Duisburg-Essen, Germany Finite and boundary element discretizations of elliptic partial differential equations result in large linear systems of algebraic equations. Furthermore, the disssertation of a coarse solve ensures the scalability of the method, which means that the number of iterations is independent of the number of subdomains.
From traditional approaches to computer-adaptive and web-based tests.
Dissertations | AOM – JKU Linz
Second, we consider elliptic equations with highly heterogeneous coefficient distributions. The global solution is then constructed iteratively from the repeated solution of local problems. Ulrich Langer External Referee: PhD thesis as PDF file 2. PhD thesis as PDF file 1.
A challenging topic in computational electromagnetics is the Maxwell eigenvalue problem. In particular, the condition number of the corresponding preconditioned system is bounded in terms of a logarithmic expression in the local problem size.
The key point is to respect the de Rham Complex already in the construction of the finite element basis functions and not, as usual, only for the definition of the local FE-space. The hp -version of FEM combines local mesh refinement h and local increase of the polynomial order of the approximation space p.
We provide explicit condition number bounds that depend on a few geometric parameters, and which are quasi-optimal in special cases. Generally, the dissertations written in our department are based on quantitative-empirical research studies. 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.
Here, suitable preconditioners are needed in order to ensure that the number of iterations depends only weakly on the size of the local problems. Kurt Hoffmann Using e-learning in college Mag. 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.
NUMA – PhD Theses – Sabine Zaglmayr
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. Dissertaation be more precise, if the coefficient varies only moderately in a layer near the boundary of each subdomain, the method is proved to be robust with respect to arbitrary variation in the interior of each subdomain and with respect to coefficient jumps across subdomain interfaces.
The role of interpersonal influence among the elderly in dealing with information and communication technologies.