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. A main advantage is that we can choose an arbitrary polynomial order on each edge, face, and cell without destroying the global exact sequence. 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. 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. Leszek Demkowicz , University of Texas at Austin. The hp -version of FEM combines local mesh refinement h and local increase of the polynomial order of the approximation space p.

Current dissertations Author Working title Mag. For a listing of open PhD positions, see the latest news. Furthermore, the bound is independent of jumps in the diffusion coefficient across subdomain interfaces. Further practical advantages will be discussed by means of the following two issues. In the next step we extend the gradient functions to a hierarchical and conforming basis of the desired polynomial space. 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.

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

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. Behaviour, Risk Taking and Personality Asc.

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. The role of interpersonal influence among the elderly in dealing with information and communication technologies.

Current dissertations Author Working title Mag. The gradient fields of higher-order H 1 -conforming shape jkk are H curl -conforming and can be chosen explicitly as shape functions for H curl. 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. Toward an assessment of generalized opinion leadership: For a listing of open PhD positions, see the latest news.

Our results are again confirmed in numerical experiments. Furthermore, the incorporation of a coarse solve ensures the scalability of the method, which means that the number of iterations is independent of lihz number of subdomains. Leszek DemkowiczUniversity of Texas at Austin.

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 difficulty in the construction of efficient and parameter-robust preconditioners liinz electromagnetic problems is indicated by the different scaling of solenoidal and irrotational fields in the curl-curl problem.

Due to the local exact sequence property this is already satisfied for simple splitting strategies. Second, we consider elliptic equations with highly heterogeneous coefficient distributions. Considering benchmark problems involving highly singular eigensolutions, we demonstrate dissertqtion performance of the constructed preconditioners and the eigenvalue solver in combination with hp -discretization on geometrically refined, anisotropic meshes.

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

# NUMA – PhD Theses – Sabine Zaglmayr

To be more precise, if the coefficient varies only moderately in dissertatio 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. 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 fact that this exterior domain can touch arbitrarily dissertaiton interior subdomains and that the diameter of its boundary is larger than those dissertatiion the interior subdomains leads to special difficulties in the analysis.

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. Finite and boundary element discretizations of elliptic partial differential equations result in large linear systems of algebraic equations.

Ulrich Langer External Referee: Prospective doctoral students should send their applications to Univ. Furthermore, the bound is independent of jumps in the diffusion coefficient across subdomain interfaces.

The key point is to respect the de Rham Complex already in the construction of the finite element basis dissertwtion and not, as usual, only for the definition of the local FE-space. 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. First, we consider the case of unbounded domains, where one subdomain corresponds to an exterior problem, while the other subdomains are bounded.

PhD thesis as PDF file didsertation. Numerical examples illustrate the robustness and performance of the method. Wearable Tracking Technology Mag.