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Summer Term 2012, Doctoral School Events
2012-03-23 Doctoral School Seminar (Seminarraum 2, Institut f. Geometrie, Kopernikusgasse 24, 10:30—13:00, TU)
Dijana Kreso (TU, advisor R. Tichy): Polynomial decomposition and Bilu-Tichy theorem [show abstract]
Ante Custic (TU, advisor B. Klinz): Special Cases of the Planar 3-Dimensional Assignment Problem [show abstract]
Oliver Ebner (TU, advisor J. Wallner): Stochastic Aspects of refinement schemes on metric spaces [show abstract]
Tao Wu (KFU, advisor M. Hintermüller): A Nonconvex TV^q-Model in Image Restoration [show abstract]
2012-04-27 Doctoral School Seminar (ENTFÄLLT, )
2012-05-25 Doctoral School Seminar (Seminarraum 2, Institut f. Geometrie, Kopernikusgasse 24, 10:30—13:00, TU)
Fabrizio Barroero (TU, advisor R. Tichy): O-minimal structures and applications to number theory [show abstract]
Martin Holler (KFU, advisor K. Kunisch): Artifact-free decompression of transform-coded multi-channel images with TGV [show abstract]
Andreas Kucher (KFU, advisor G. Haase): Algorithms for CFD Calculations on Many–Core Systems [show abstract]
Daniel Krenn (TU, advisor C. Heuberger): Analysis of Non-adjacent Forms in Lattices [show abstract]
2012-06-22 Doctoral School Seminar (HS 11.02, Inst. Mathematik, Heinrichstr. 36, 13:30 — 16:00, KFU)
Serbiniyaz Anyyeva (KFU, advisor K. Kunisch): Semismooth Newton methods for variational inequalities with gradient constraints [show abstract]
Cong Dinh Doan (TU, advisor W. Tutschke): Dirichlet boundary value problem for monogenic functions in Clifford analysis

Abstract: We begin with the classical Dirichlet boundary value problem for holomorphic functions in a smooth, simply connected, bounded domain. If one prescribes the real part on the whole boundary then the imaginary part is determined uniquely up to a constant, hence we can prescribe the imaginary part at one point inside the domain. If the boundary values of the real part are Hölder continuous then the solution is Hölder continuous. In this talk, first we give a short introduction to Clifford analysis, monogenic function, then we set up a Dirichlet boundary value problem for monogenic functions in Clifford analysis which is analogous to the Dirichlet BVP for holomorphic functions . The problem is reduced to a problem of the same type in a lower dimension. If the boundary data are Hölder continuously differentiable functions, then the unique solution is Hölder continuous. [hide abstract]

Stefan Fürtinger (KFU, advisor S. Keeling): Computation of Binary Edge Maps by Higher Order Methods [show abstract]
Jerico Bacani (KFU, advisor G. Peichl): Computing the second order shape derivative [show abstract]