DISSERTATION JKU LINZ

A main advantage is that we can choose an arbitrary polynomial order on each edge, face, and cell without destroying the global exact sequence. An analogous principle is used for the construction of H div -conforming basis functions. For details, please refer to the curriculum of the given doctoral program as the online course cataloge KUSSS. From traditional approaches to computer-adaptive and web-based tests. Leszek Demkowicz , University of Texas at Austin. Timo Gnambs Toward an assessment of generalized opinion leadership:

Timo Gnambs Toward an assessment of generalized opinion leadership: An analogous principle is used for the construction of H div -conforming basis functions. In particular, the condition number of the corresponding preconditioned system is bounded in terms of a logarithmic expression in the local problem size. The global solution is then constructed iteratively from the repeated solution of local problems. The hp -version of FEM combines local mesh refinement h and local increase of the polynomial order of the approximation space p. Prospective doctoral students should send their applications to Univ.

First, we consider the case of jkk domains, where one subdomain corresponds to an exterior problem, while the other subdomains are bounded. In particular, the condition number of the corresponding preconditioned system is bounded in terms of a logarithmic expression in the local problem size.

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

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. The exterior problem is approximated using the boundary element method. A short outline of the construction is as follows.

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dissertation jku linz

Timo Gnambs Toward an assessment of generalized opinion leadership: A challenging topic in computational electromagnetics is the Maxwell eigenvalue problem. Behaviour, Risk Taking and Personality Asc. In the next step we extend the gradient functions to a hierarchical and conforming basis of the desired polynomial space.

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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. Our results are confirmed liinz numerical experiments. Ulrich Langer External Referee: Toward an assessment of generalized opinion leadership: Leszek DemkowiczUniversity of Texas at Austin.

Furthermore, the bound is independent of jumps in the diffusion coefficient across subdomain interfaces.

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For its solution we use the subspace version of the locally optimal preconditioned gradient method. This requires the solution of a potential problem, which can be done approximately by a couple of PCG-iterations.

The dissertation itself is usually written cumulatively, i. Robust Schwarz-type methods for Maxwell’s equations rely on a FE-space splitting, which also has to provide a correct splitting of the disserttaion of the curl-operator. Furthermore, the incorporation of a coarse solve ensures the scalability of the method, which means that the number of iterations is independent of the number of subdomains. The main contribution ju this work is a general, unified construction principle for H curl – and H div -conforming finite diesertation of variable and arbitrary order for various element topologies suitable for unstructured hybrid meshes.

To be more precise, if the coefficient varies only moderately in a disssrtation 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. 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.

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dissertation jku linz

Considering benchmark problems involving highly singular eigensolutions, we demonstrate the performance of the constructed preconditioners and the eigenvalue solver in combination with hp -discretization on geometrically refined, anisotropic meshes. PhD thesis as PDF file 1. We provide explicit condition number bounds that depend on a few geometric parameters, and which are quasi-optimal in special cases. PhD thesis as PDF file 2. Uku hp -version of FEM combines local mesh refinement h and local increase of the polynomial order of the approximation space p.

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.

Tanja Dssertation Computer-aided cooperative learning Generally, the dissertations written in our department are based on quantitative-empirical research studies. From traditional approaches to computer-adaptive and web-based tests.

Current dissertations Author Working title Mag. Our results are again confirmed in numerical experiments. Here, suitable preconditioners are needed in order to ensure that the number of iterations depends only weakly on the size of the local problems.

dissertation jku linz