@article{PhamStaat2013, author = {Pham, Phu Tinh and Staat, Manfred}, title = {An Upper Bound Algorithm for Limit and Shakedown Analysis of Bounded Linearly Kinematic Hardening Structures}, series = {Limit State of Materials and Structures : Direct Methods 2. Saxc{\´e}, G{\´e}ry de (Hrsg.)}, journal = {Limit State of Materials and Structures : Direct Methods 2. Saxc{\´e}, G{\´e}ry de (Hrsg.)}, publisher = {Springer}, address = {Dordrecht}, isbn = {978-94-007-5424-9}, pages = {71 -- 87}, year = {2013}, language = {en} } @article{GruetersSavvidisLoeeretal.1991, author = {Gr{\"u}ters, Hugo and Savvidis, E. and L{\"o}er, F. and Wiesener, C. H.}, title = {Analyse der Beanspruchung des proximalen Femur bei verschiedenen Arten der Belastung mit Hilfe der Finite-Element-Methode / Savvidis, E. ; L{\"o}er, F. ; Gr{\"u}ters, Hugo ; Wiesener, C. H.}, series = {Zeitschrift f{\"u}r Orthop{\"a}die und ihre Grenzgebiete. 129 (1991), H. 3}, journal = {Zeitschrift f{\"u}r Orthop{\"a}die und ihre Grenzgebiete. 129 (1991), H. 3}, isbn = {1615-9586}, pages = {268 -- 277}, year = {1991}, language = {de} } @phdthesis{Kelemen1999, author = {Kelemen, Christina}, title = {Analyse des phasensprungartigen Einsetzens der Passage humaner Erythrozyten durch Mikropipetten bei kritischen Temperaturen}, publisher = {Forschungszentrum, Zentralbibliothek}, address = {J{\"u}lich}, year = {1999}, language = {de} } @incollection{KraftKohlMeinecke2024, author = {Kraft, Bodo and Kohl, Philipp and Meinecke, Matthias}, title = {Analyse und Nachverfolgung von Projektzielen durch Einsatz von Natural Language Processing}, series = {KI in der Projektwirtschaft : was ver{\"a}ndert sich durch KI im Projektmanagement?}, booktitle = {KI in der Projektwirtschaft : was ver{\"a}ndert sich durch KI im Projektmanagement?}, editor = {Bernert, Christian and Scheurer, Steffen and Wehnes, Harald}, publisher = {UVK Verlag}, isbn = {978-3-3811-1132-9 (Online)}, doi = {10.24053/9783381111329}, pages = {157 -- 167}, year = {2024}, language = {de} } @article{HarrisKleefeld2022, author = {Harris, Isaac and Kleefeld, Andreas}, title = {Analysis and computation of the transmission eigenvalues with a conductive boundary condition}, series = {Applicable Analysis}, volume = {101}, journal = {Applicable Analysis}, number = {6}, publisher = {Taylor \& Francis}, address = {London}, issn = {1563-504X}, doi = {10.1080/00036811.2020.1789598}, pages = {1880 -- 1895}, year = {2022}, abstract = {We provide a new analytical and computational study of the transmission eigenvalues with a conductive boundary condition. These eigenvalues are derived from the scalar inverse scattering problem for an inhomogeneous material with a conductive boundary condition. The goal is to study how these eigenvalues depend on the material parameters in order to estimate the refractive index. The analytical questions we study are: deriving Faber-Krahn type lower bounds, the discreteness and limiting behavior of the transmission eigenvalues as the conductivity tends to infinity for a sign changing contrast. We also provide a numerical study of a new boundary integral equation for computing the eigenvalues. Lastly, using the limiting behavior we will numerically estimate the refractive index from the eigenvalues provided the conductivity is sufficiently large but unknown.}, language = {en} } @article{MuribTranCeunincketal.2012, author = {Murib, Mohammed S. and Tran, Anh Quang and Ceuninck, Ward de and Sch{\"o}ning, Michael Josef and Nesladek, Milos and Serpeng{\"u}zel, Ali and Wagner, Patrick}, title = {Analysis of an optical biosensor based on elastic light scattering from diamond-, glass-, and sapphire microspheres}, series = {Physica Status Solidi A}, volume = {209}, journal = {Physica Status Solidi A}, number = {9}, publisher = {Wiley-VCH}, address = {Weinheim}, issn = {1862-6319}, doi = {10.1002/pssa.201100795}, pages = {1804 -- 1810}, year = {2012}, abstract = {Deoxyribonucleic acid (DNA) and protein recognition are now standard tools in biology. In addition, the special optical properties of microsphere resonators expressed by the high quality factor (Q-factor) of whispering gallery modes (WGMs) or morphology dependent resonances (MDRs) have attracted the attention of the biophotonic community. Microsphere-based biosensors are considered as powerful candidates to achieve label-free recognition of single molecules due to the high sensitivity of their WGMs. When the microsphere surface is modified with biomolecules, the effective refractive index and the effective size of the microsphere change resulting in a resonant wavelength shift. The transverse electric (TE) and the transverse magnetic (TM) elastic light scattering intensity of electromagnetic waves at 600 and 1400 nm are numerically calculated for DNA and unspecific binding of proteins to the microsphere surface. The effect of changing the optical properties was studied for diamond (refractive index 2.34), glass (refractive index 1.50), and sapphire (refractive index 1.75) microspheres with a 50 µm radius. The mode spacing, the linewidth of WGMs, and the shift of resonant wavelength due to the change in radius and refractive index, were analyzed by numerical simulations. Preliminary results of unspecific binding of biomolecules are presented. The calculated shift in WGMs can be used for biomolecules detection.}, language = {en} } @article{HeidenTurekSchoening2011, author = {Heiden, W. and Turek, M. and Sch{\"o}ning, Michael Josef}, title = {Analysis of chemical sensor data}, series = {Proceedings of the 4th Russian-German Workshop "Innovation Information Technologies: Theory and practice" : Ufa, Russia, April 8-13, 2011 / eds. Yupsova, Nafisa ...}, journal = {Proceedings of the 4th Russian-German Workshop "Innovation Information Technologies: Theory and practice" : Ufa, Russia, April 8-13, 2011 / eds. Yupsova, Nafisa ...}, publisher = {State Aviation Technical Univ.}, address = {Ufa}, isbn = {978-5-4221-0159-7}, pages = {76 -- 81}, year = {2011}, language = {en} } @article{VuStaatTran2007, author = {Vu, Duc Khoi and Staat, Manfred and Tran, Ich Thinh}, title = {Analysis of pressure equipment by application of the primal-dual theory of shakedown}, series = {Communications in Numerical Methods in Engineering. 23 (2007), H. 3}, journal = {Communications in Numerical Methods in Engineering. 23 (2007), H. 3}, isbn = {1069-8299}, pages = {213 -- 225}, year = {2007}, language = {en} } @article{LeversStaatLaack2016, author = {Levers, A. and Staat, Manfred and Laack, Walter van}, title = {Analysis of the long-term effect of the MBST® nuclear magnetic resonance therapy on gonarthrosis}, series = {Orthopedic Practice}, volume = {47}, journal = {Orthopedic Practice}, number = {11}, pages = {521 -- 528}, year = {2016}, language = {en} } @article{AyalaHarrisKleefeldetal.2023, author = {Ayala, Rafael Ceja and Harris, Isaac and Kleefeld, Andreas and Pallikarakis, Nikolaos}, title = {Analysis of the transmission eigenvalue problem with two conductivity parameters}, series = {Applicable Analysis}, journal = {Applicable Analysis}, publisher = {Taylor \& Francis}, issn = {0003-6811}, doi = {10.1080/00036811.2023.2181167}, pages = {37 Seiten}, year = {2023}, abstract = {In this paper, we provide an analytical study of the transmission eigenvalue problem with two conductivity parameters. We will assume that the underlying physical model is given by the scattering of a plane wave for an isotropic scatterer. In previous studies, this eigenvalue problem was analyzed with one conductive boundary parameter whereas we will consider the case of two parameters. We prove the existence and discreteness of the transmission eigenvalues as well as study the dependence on the physical parameters. We are able to prove monotonicity of the first transmission eigenvalue with respect to the parameters and consider the limiting procedure as the second boundary parameter vanishes. Lastly, we provide extensive numerical experiments to validate the theoretical work.}, language = {en} }