TY - JOUR A1 - Zastrow, Udo T1 - Solution of plane anisotropic elastostatical boundary value problems by singular integral equations JF - Acta Mechanica. 44 (1982), H. 1-2 Y1 - 1982 SN - 1619-6937 SP - 59 EP - 71 ER - TY - BOOK A1 - Rath, Walter A1 - Dzierzynski, Elmar T1 - Solvent-free contact adhesive = Lösungsmittelfreier Kontaktklebstoff / Rath, Walter ; Dzierzynski, Elmar [Erfinder] Y1 - 1995 N1 - EP0436347 06.04.1995 Veröffentlichungstag im Patentblatt ; Volltext recherchierbar über: PB - Europäisches Patentamt CY - München 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 - JOUR A1 - Staat, Manfred T1 - Some Achievements of the European Project LISA for FEM Based Limit and Shakedown Analysis JF - Computational mechanics : developments and applications, 2002 : presented at the 2002 ASME Pressure Vessels and Piping Conference, Vancouver, British Columbia, Canada, August 5 - 9. / Badie, N. [ed] Y1 - 2002 SN - 0791846520 N1 - Serie PVP ; vol. 441. SP - 177 EP - 185 PB - American Society of Mechanical Engineers CY - New York ER - TY - CHAP A1 - Mertens, Josef ED - Nitsche, Wolfgang T1 - Some important results of the technology programme RaWid T2 - New Results in Numerical and Experimental Fluid Mechanics : Contributions to the 11th AG STAB/DGLR Symposium Berlin, Germany 1998. - Vol. 2. - (Notes on Numerical Fluid Mechanics ; 72) Y1 - 1999 SN - 978-3-663-10903-7 (Print) SN - 978-3-663-10901-3 (Elektronisch) U6 - https://doi.org/10.1007/978-3-663-10901-3_41 SP - 315 EP - 322 PB - Springer Fachmedien CY - Wiesbaden ER - TY - CHAP A1 - Lo Piparo, G. B. A1 - Kern, Alexander A1 - Mazzetti, C. T1 - Some masterpoints about risk due to lightning T2 - International Conference on Lightning Protection (ICLP) : 2 - 7 Sept. 2012, Vienna Y1 - 2012 SN - 978-1-4673-1896-9 (E-Book) ; 978-1-4673-1898-3 (Print) SP - 1 EP - 6 PB - IEEE CY - Piscataway, NJ ER - TY - CHAP A1 - Konstantinidis, K. A1 - Kowalski, Julia A1 - Martinez, C. F. A1 - Dachwald, Bernd A1 - Ewerhart, D. A1 - Förstner, R. T1 - Some necessary technologies for in-situ astrobiology on enceladus T2 - Proceedings of the International Astronautical Congress Y1 - 2015 SN - 978-151081893-4 N1 - 6th International Astronautical Congress 2015: Space - The Gateway for Mankind's Future, IAC 2015; Jerusalem; Israel; 12 October 2015 through 16 October 2015 SP - 1354 EP - 1372 ER - TY - JOUR A1 - Stulpe, Werner T1 - Some Remarks on Classical Representations of Quantum Mechanics JF - Foundations of Physics . 24 (1994), H. 7 Y1 - 1994 SN - 1572-9516 SP - 1089 EP - 1094 ER - TY - JOUR A1 - Stulpe, Werner A1 - Singer, Matthias T1 - Some Remarks on the Determination of Quantum States by Measurements JF - Foundations of Physics Letters. 3 (1990), H. 2 Y1 - 1990 SN - 1572-9524 SP - 153 EP - 166 ER - TY - JOUR A1 - Dikta, Gerhard A1 - Hausmann, Rolf A1 - Schmidt, Christian T1 - Some Simulation Results under Random Censorship Models Y1 - 2002 N1 - gesehen 18.06.2007 SP - 1 EP - 12 ER -