TY - CHAP A1 - Kleefeld, Andreas ED - Constanda, Christian T1 - Numerical calculation of interior transmission eigenvalues with mixed boundary conditions T2 - Computational and Analytic Methods in Science and Engineering N2 - Interior transmission eigenvalue problems for the Helmholtz equation play an important role in inverse wave scattering. Some distribution properties of those eigenvalues in the complex plane are reviewed. Further, a new scattering model for the interior transmission eigenvalue problem with mixed boundary conditions is described and an efficient algorithm for computing the interior transmission eigenvalues is proposed. Finally, extensive numerical results for a variety of two-dimensional scatterers are presented to show the validity of the proposed scheme. Y1 - 2020 SN - 978-3-030-48185-8 (Hardcover) U6 - https://doi.org/10.1007/978-3-030-48186-5_9 SP - 173 EP - 195 PB - Birkhäuser CY - Cham ER - TY - JOUR A1 - Martín-Vaquero, J. A1 - Kleefeld, Andreas T1 - Solving nonlinear parabolic PDEs in several dimensions: Parallelized ESERK codes JF - Journal of Computational Physics N2 - There is a very large number of very important situations which can be modeled with nonlinear parabolic partial differential equations (PDEs) in several dimensions. In general, these PDEs can be solved by discretizing in the spatial variables and transforming them into huge systems of ordinary differential equations (ODEs), which are very stiff. Therefore, standard explicit methods require a large number of iterations to solve stiff problems. But implicit schemes are computationally very expensive when solving huge systems of nonlinear ODEs. Several families of Extrapolated Stabilized Explicit Runge-Kutta schemes (ESERK) with different order of accuracy (3 to 6) are derived and analyzed in this work. They are explicit methods, with stability regions extended, along the negative real semi-axis, quadratically with respect to the number of stages s, hence they can be considered to solve stiff problems much faster than traditional explicit schemes. Additionally, they allow the adaptation of the step length easily with a very small cost. Two new families of ESERK schemes (ESERK3 and ESERK6) are derived, and analyzed, in this work. Each family has more than 50 new schemes, with up to 84.000 stages in the case of ESERK6. For the first time, we also parallelized all these new variable step length and variable number of stages algorithms (ESERK3, ESERK4, ESERK5, and ESERK6). These parallelized strategies allow to decrease times significantly, as it is discussed and also shown numerically in two problems. Thus, the new codes provide very good results compared to other well-known ODE solvers. Finally, a new strategy is proposed to increase the efficiency of these schemes, and it is discussed the idea of combining ESERK families in one code, because typically, stiff problems have different zones and according to them and the requested tolerance the optimum order of convergence is different. KW - Multi-dimensional partial differential equations KW - Higher-order codes KW - Nonlinear PDEs Y1 - 2020 U6 - https://doi.org/10.1016/j.jcp.2020.109771 SN - 0021-9991 IS - 423 PB - Elsevier CY - Amsterdam ER - TY - GEN A1 - Burgeth, Bernhard A1 - Kleefeld, Andreas A1 - Naegel, Benoît A1 - Perret, Benjamin T1 - Editorial — Special Issue: ISMM 2019 T2 - Mathematical Morphology - Theory and Applications N2 - This editorial presents the Special Issue dedicated to the conference ISMM 2019 and summarizes the articles published in this Special Issue. Y1 - 2020 U6 - https://doi.org/10.1515/mathm-2020-0200 SN - 2353-3390 VL - 4 IS - 1 SP - 159 EP - 161 PB - De Gruyter CY - Warschau ER - TY - JOUR A1 - Wild, Dominik A1 - Schrezenmeier, Johannes A1 - Czupalla, Markus A1 - Förstner, Roger T1 - Thermal Characterization of additive manufactured Integral Structures for Phase Change Applications JF - 2020 International Conference on Environmental Systems N2 - “Infused Thermal Solutions” (ITS) introduces a method for passive thermal control to stabilize structural components thermally without active heating and cooling systems, by using phase change material (PCM) in combination with lattice – both embedded into an additive manufactured integral structure. The technology is currently under development. This paper presents the results of the thermal property measurements performed on additive manufactured ITS breadboards. Within the breadboard campaigns key characteristics of the additive manufactured specimens were derived: Mechanical parameters: specimen impermeability, minimum wall thickness, lattice structure, subsequent heat treatment. Thermal properties: thermo-optical surface properties of the additive manufactured raw material, thermal conductivity and specific heat capacity measurements. As a conclusion the paper introduces an overview of potential ITS hardware applications, expected to increase the thermal performance. Y1 - 2020 PB - Texas Tech University ER - TY - CHAP A1 - Abele, Daniel A1 - Kleefeld, Andreas ED - Constanda, Christian T1 - New Numerical Results for the Optimization of Neumann Eigenvalues T2 - Computational and Analytic Methods in Science and Engineering N2 - We present new numerical results for shape optimization problems of interior Neumann eigenvalues. This field is not well understood from a theoretical standpoint. The existence of shape maximizers is not proven beyond the first two eigenvalues, so we study the problem numerically. We describe a method to compute the eigenvalues for a given shape that combines the boundary element method with an algorithm for nonlinear eigenvalues. As numerical optimization requires many such evaluations, we put a focus on the efficiency of the method and the implemented routine. The method is well suited for parallelization. Using the resulting fast routines and a specialized parametrization of the shapes, we found improved maxima for several eigenvalues. Y1 - 2020 SN - 978-3-030-48185-8 (Print) SN - 978-3-030-48186-5 (Online) U6 - https://doi.org/10.1007/978-3-030-48186-5_1 SP - 1 EP - 20 PB - Birkhäuser CY - Cham ER - TY - GEN A1 - Eccleston, Paul A1 - Drummond, Rachel A1 - Middleton, Kevin A1 - Bishop, Georgia A1 - Caldwell, Andrew A1 - Desjonqueres, Lucile A1 - Tosh, Ian A1 - Cann, Nick A1 - Crook, Martin A1 - Hills, Matthew A1 - Pearson, Chris A1 - Simpson, Caroline A1 - Stamper, Richard A1 - Tinetti, Giovanna A1 - Pascale, Enzo A1 - Swain, Mark A1 - Holmes, Warren A. A1 - Wong, Andre A1 - Puig, Ludovic A1 - Pilbratt, Göran A1 - Linder, Martin A1 - Boudin, Nathalie A1 - Ertel, Hanno A1 - Gambicorti, Lisa A1 - Halain, Jean-Philippe A1 - Pace, Emanuele A1 - Vilardell, Francesc A1 - Gómez, José M. A1 - Colomé, Josep A1 - Amiaux, Jérôme A1 - Cara, Christophe A1 - Berthe, Michel A1 - Moreau, Vincent A1 - Morgante, Gianluca A1 - Malaguti, Giuseppe A1 - Alonso, Gustavo A1 - Álvarez, Javier P. A1 - Ollivier, Marc A1 - Philippon, Anne A1 - Hellin, Marie-Laure A1 - Roose, Steve A1 - Frericks, Martin A1 - Krijger, Matthijs A1 - Rataj, Miroslaw A1 - Wawer, Piotr A1 - Skup, Konrad A1 - Sobiecki, Mateusz A1 - Christian Jessen, Niels A1 - Møller Pedersen, Søren A1 - Hargrave, Peter A1 - Griffin, Matt A1 - Ottensamer, Roland A1 - Hunt, Thomas A1 - Rust, Duncan A1 - Saleh, Aymen A1 - Winter, Berend A1 - Focardi, Mauro A1 - Da Deppo, Vania A1 - Zuppella, Paola A1 - Czupalla, Markus ED - Lystrup, Makenzie ED - Perrin, Marshall D. ED - Batalha, Natalie ED - Siegler, Nicholas ED - Tong, Edward C. T1 - The ARIEL payload: A technical overview T2 - Space Telescopes and Instrumentation 2020: Optical, Infrared, and Millimeter Wave N2 - The Atmospheric Remote-Sensing Infrared Exoplanet Large-survey, ARIEL, has been selected to be the next (M4) medium class space mission in the ESA Cosmic Vision programme. From launch in 2028, and during the following 4 years of operation, ARIEL will perform precise spectroscopy of the atmospheres of ~1000 known transiting exoplanets using its metre-class telescope. A three-band photometer and three spectrometers cover the 0.5 µm to 7.8 µm region of the electromagnetic spectrum. This paper gives an overview of the mission payload, including the telescope assembly, the FGS (Fine Guidance System) - which provides both pointing information to the spacecraft and scientific photometry and low-resolution spectrometer data, the ARIEL InfraRed Spectrometer (AIRS), and other payload infrastructure such as the warm electronics, structures and cryogenic cooling systems. KW - Exoplanet KW - Spectroscopy KW - Transit KW - Atmospheres KW - Payload Y1 - 2020 U6 - https://doi.org/10.1117/12.2561478 N1 - Space Telescopes and Instrumentation 2020: Optical, Infrared, and Millimeter Wave, 14–22 December 2020, Online Only, United States VL - 11443 SP - 114430Z PB - SPIE CY - Washington ER - TY - GEN A1 - Machado, Patricia Almeida A1 - Dahmann, Peter A1 - Keimer, Jona A1 - Saretzki, Charlotte A1 - Stübing, Felix A1 - Küpper, Thomas T1 - Stress profile and individual workload monitoring in general aviation pilots – an experiment’s setting T2 - 23. Annual Meeting of the German Society of Travel Medicine, Coburg, 18.-19.9.2020 Y1 - 2020 U6 - https://doi.org/10.55225/hppa.156 ER -