@book{StaatHeitzerYanetal.2000, author = {Staat, Manfred and Heitzer, M. and Yan, Ai-Min and Khoi, Vu Duc and Nguyen, Dang Hung and Valdoire, F. and Lahousse, A.}, title = {Limit Analysis of Defects}, publisher = {Forschungszentrum J{\"u}lich}, address = {J{\"u}lich}, issn = {0944-2952}, pages = {89 S.}, year = {2000}, language = {en} } @article{PieronekKleefeld2024, author = {Pieronek, Lukas and Kleefeld, Andreas}, title = {On trajectories of complex-valued interior transmission eigenvalues}, series = {Inverse problems and imaging : IPI}, volume = {18}, journal = {Inverse problems and imaging : IPI}, number = {2}, publisher = {AIMS}, address = {Springfield, Mo}, issn = {1930-8337 (Print)}, doi = {10.3934/ipi.2023041}, pages = {480 -- 516}, year = {2024}, abstract = {This paper investigates the interior transmission problem for homogeneous media via eigenvalue trajectories parameterized by the magnitude of the refractive index. In the case that the scatterer is the unit disk, we prove that there is a one-to-one correspondence between complex-valued interior transmission eigenvalue trajectories and Dirichlet eigenvalues of the Laplacian which turn out to be exactly the trajectorial limit points as the refractive index tends to infinity. For general simply-connected scatterers in two or three dimensions, a corresponding relation is still open, but further theoretical results and numerical studies indicate a similar connection.}, language = {en} } @inproceedings{PoghossianAbouzarSchoening2012, author = {Poghossian, Arshak and Abouzar, Maryam H. and Sch{\"o}ning, Michael Josef}, title = {(Bio-­)chemical sensor array based on nanoplate SOI capacitors}, series = {Nanoscale Science and Technology (NS\&T´12) : Proceedings Book Humboldt Kolleg ; Tunisia, 17-19 March, 2012}, booktitle = {Nanoscale Science and Technology (NS\&T´12) : Proceedings Book Humboldt Kolleg ; Tunisia, 17-19 March, 2012}, editor = {Abdelghani, Adnane and Sch{\"o}ning, Michael Josef}, pages = {31 -- 31}, year = {2012}, language = {en} } @book{Digel1998, author = {Digel, Ilya}, title = {Enhancement of microbial adhesion onto solid surfaces using transition metals and water-soluble polymers : academic PhD dissertation in microbiology, Division of Applied Microbiology, Department of Microbiology, Biology Faculty, Kazakh National State University, Almaty, Kazakhstan / Ilya Digel}, address = {Almaty}, year = {1998}, language = {en} } @article{HuckPoghossianBaeckeretal.2015, author = {Huck, Christina and Poghossian, Arshak and B{\"a}cker, Matthias and Reisert, Steffen and Kramer, Friederike and Begoyan, Vardges K. and Buniatyan, Vahe V. and Sch{\"o}ning, Michael Josef}, title = {Multi-parameter sensing using high-k oxide of barium strontium titanate}, series = {Physica status solidi (a)}, volume = {212}, journal = {Physica status solidi (a)}, number = {6}, publisher = {Wiley}, address = {Weinheim}, issn = {1862-6319}, doi = {10.1002/pssa.201431911}, pages = {1259}, year = {2015}, abstract = {High-k perovskite oxide of barium strontium titanate (BST) represents a very attractive multi-functional transducer material for the development of (bio-)chemical sensors. In this work, a Si-based sensor chip containing Pt interdigitated electrodes covered with a thin BST layer (485 nm) has been developed for multi-parameter chemical sensing. The chip has been applied for the contactless measurement of the electrolyte conductivity, the detection of adsorbed charged macromolecules (positively charged polyelectrolytes of polyethylenimine) and the concentration of hydrogen peroxide (H2O2) vapor. The experimental results of functional testing of individual sensors are presented. The mechanism of the BST sensitivity to charged polyelectrolytes and H2O2 vapor has been proposed and discussed.}, language = {en} } @inproceedings{SchusserLeinhosPoghossianetal.2012, author = {Schusser, Sebastian and Leinhos, Marcel and Poghossian, Arshak and Wagner, Patrick and Sch{\"o}ning, Michael Josef}, title = {Biopolymer-degradation monitoring by chip-­based impedance spectroscopy technique}, series = {Nanoscale Science and Technology (NS\&T´12) : Proceedings Book Humboldt Kolleg ; Tunisia, 17-19 March, 2012}, booktitle = {Nanoscale Science and Technology (NS\&T´12) : Proceedings Book Humboldt Kolleg ; Tunisia, 17-19 March, 2012}, editor = {Abdelghani, Adnane and Sch{\"o}ning, Michael Josef}, pages = {47 -- 47}, year = {2012}, language = {en} } @article{GrajewskiKoesterTurek2010, author = {Grajewski, Matthias and K{\"o}ster, Michael and Turek, Stefam}, title = {Numerical analysis and implementational aspects of a new multilevel grid deformation method}, series = {Applied Numerical Mathematics}, volume = {60}, journal = {Applied Numerical Mathematics}, number = {8}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0168-9274}, doi = {10.1016/j.apnum.2010.03.017}, pages = {767 -- 781}, year = {2010}, abstract = {Recently, we introduced and mathematically analysed a new method for grid deformation (Grajewski et al., 2009) [15] we call basic deformation method (BDM) here. It generalises the method proposed by Liao et al. (Bochev et al., 1996; Cai et al., 2004; Liao and Anderson, 1992) [4], [6], [20]. In this article, we employ the BDM as core of a new multilevel deformation method (MDM) which leads to vast improvements regarding robustness, accuracy and speed. We achieve this by splitting up the deformation process in a sequence of easier subproblems and by exploiting grid hierarchy. Being of optimal asymptotic complexity, we experience speed-ups up to a factor of 15 in our test cases compared to the BDM. This gives our MDM the potential for tackling large grids and time-dependent problems, where possibly the grid must be dynamically deformed once per time step according to the user's needs. Moreover, we elaborate on implementational aspects, in particular efficient grid searching, which is a key ingredient of the BDM.}, language = {en} } @article{Stulpe2014, author = {Stulpe, Werner}, title = {From the attempt of certain classical reformulations of quantum mechanics to quasi-probability representations}, series = {Journal of Mathematical Physics}, volume = {55}, journal = {Journal of Mathematical Physics}, number = {1}, publisher = {AIP Publishing}, address = {College Park, Md.}, issn = {222-488}, doi = {10.1063/1.4861939}, pages = {Artikel 012109}, year = {2014}, abstract = {The concept of an injective affine embedding of the quantum states into a set of classical states, i.e., into the set of the probability measures on some measurable space, as well as its relation to statistically complete observables is revisited, and its limitation in view of a classical reformulation of the statistical scheme of quantum mechanics is discussed. In particular, on the basis of a theorem concerning a non-denseness property of a set of coexistent effects, it is shown that an injective classical embedding of the quantum states cannot be supplemented by an at least approximate classical description of the quantum mechanical effects. As an alternative approach, the concept of quasi-probability representations of quantum mechanics is considered.}, language = {en} } @article{Staat1995, author = {Staat, Manfred}, title = {Reliability of an HTR-module primary circuit pressure boundary Influences, sensitivity, and comparison with a PWR}, series = {Nuclear Engineering and Design. 158 (1995), H. 2-3}, journal = {Nuclear Engineering and Design. 158 (1995), H. 2-3}, isbn = {0029-5493}, pages = {333 -- 340}, year = {1995}, language = {en} } @article{Stulpe1994, author = {Stulpe, Werner}, title = {Some Remarks on Classical Representations of Quantum Mechanics}, series = {Foundations of Physics . 24 (1994), H. 7}, journal = {Foundations of Physics . 24 (1994), H. 7}, isbn = {1572-9516}, pages = {1089 -- 1094}, year = {1994}, language = {en} }