A main advantage is that we can choose an arbitrary polynomial order on each edge, face, and cell without destroying the global exact sequence. 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. The role of interpersonal influence among the elderly in dealing with information and communication technologies. 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. 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.

Our results are again confirmed in numerical experiments. Second, we consider elliptic equations with highly heterogeneous coefficient distributions. Numerical examples illustrate the robustness and performance of the method. By our separate treatment of edge-based, face-based, and cell-based functions, and by including the corresponding gradient functions, we can establish the local exact sequence property: Finally, we consider nonlinear stationary magnetic field problems in two dimensions, as an important application of our preceding analysis.

Numerical examples illustrate the robustness and performance of the method. Generally, the dissertations written in our department are based on quantitative-empirical research studies. The main difficulty in the construction of efficient and parameter-robust preconditioners for electromagnetic problems is indicated by the different scaling of solenoidal and irrotational fields in the curl-curl problem. A challenging topic in computational electromagnetics is the Maxwell eigenvalue problem.

First, we consider the case of unbounded domains, where one subdomain corresponds to an exterior problem, dissertaion the other subdomains are bounded. For a listing of open PhD positions, see the latest news.

# Dissertations | AOM – JKU Linz

Finally, we consider nonlinear stationary magnetic disseryation problems in two dimensions, as an important application of our preceding analysis. The role of interpersonal influence among the elderly in dealing with information and communication technologies. Due to the local exact sequence property this is already satisfied for simple splitting strategies. A short outline of the construction is as follows.

Current dissertations Author Working title Mag.

# NUMA – PhD Theses – Sabine Zaglmayr

A main advantage is that we can choose an arbitrary polynomial order on each eissertation, face, and cell without destroying the global exact sequence. The exterior problem is approximated using the boundary element method.

Wearable Tracking Technology Mag. The global solution is then constructed iteratively from the repeated solution of local problems. The key point is to respect the de Rham Complex already j,u the construction of the finite element basis functions and not, as usual, only for the definition of the local FE-space. 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.

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.

PhD thesis as PDF file 2.

Further practical advantages will be discussed by means of the following two issues. The fact that this exterior domain can touch arbitrarily many interior subdomains and that the diameter disseetation its boundary is larger than those of the interior subdomains leads to special difficulties in the analysis. Tanja Jardin Computer-aided cooperative learning 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.

## Johannes Kepler University Linz (Linz/Austria) – JKU goes Gender – prize for dissertation

Behaviour, Risk Taking and Personality Asc. Klaus Priller The role of interpersonal influence among the elderly in dealing with information and communication technologies Dipl. For details, please refer to the curriculum of the given doctoral program as the online course cataloge KUSSS. 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.

This requires the solution of a potential problem, which can be done approximately by a couple of PCG-iterations.

Here, suitable preconditioners are needed in order to ensure that the number of iterations depends only weakly on the size of the local problems. From traditional approaches to computer-adaptive and web-based tests. Furthermore, the incorporation of a coarse solve ensures the scalability of the method, which means that the number of libz is kju of the number of subdomains.

By our separate treatment of edge-based, face-based, and cell-based functions, and by including the corresponding gradient functions, we can establish the local exact sequence property: PhD thesis as PDF file 1. 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.

Leszek DemkowiczUniversity of Texas at Austin. Since the desired eigenfunctions belong to the orthogonal complement of the gradient functions, we have to perform an orthogonal projection in each iteration step.