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Time Step Estimates for Reciprocal Mass Matrices Using Ostrowski’s Bounds

A. Tkachuk, R. Kolman, J. Gonzalez, M. Bischoff, and J. Kopacka. 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering Methods in Structural Dynamics and Earthquake Engineering, page 774-785. ECCOMAS Proceedia, (2019)
DOI: 10.7712/120119.6956.18956

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Dr. -Ing. Markus Antoni University of Stuttgart

Anton Doroschkin University of Stuttgart

Hon. -Prof. Dr. Anton Reinhart University of Stuttgart

PD Dr. rer. nat. Anton Klymovskiy University of Stuttgart

Anton Savchenko University of Stuttgart

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Customization of reciprocal mass matrices via log-det heuristicA. Tkachuk. International Journal for Numerical Methods in Engineering, (2020)Reduction of Numerical Sensitivities in Crash Simulations on HPC-Computers (HPC-10)C. Eck, Y. Kovalenko, O. Mangold, R. Prohl, A. Tkachuk, and V. Trickov. Nagel, Wolfgang E.; Kröner, Dietmar H.; Resch, Michael M. (Eds.): High Performance Computing in Science and Engineering '13. Transactions of the High Performance Computing Center, Stuttgart. Springer, (2013)Intrinsically Selective Mass Scaling with Hierarchic Structural Element FormulationsB. Oesterle, J. Trippmacher, A. Tkachuk, and M. Bischoff. Book of Extended Abstracts of the 6th ECCOMAS Young Investigators Conference, 7th-9th July 2021, Valencia, Spain, (2021)Parametrized variational principles in dynamicsA. Tkachuk. Universität Stuttgart, Stuttgart, Habilitationsschrift, (2022)Variationally consistent inertia templates for B-spline- and NURBS-based FEM: Inertia scaling and customizationA. Schäuble, A. Tkachuk, and M. Bischoff. Computer methods in applied mechanics and engineering, (2017)On stability and reflection-transmission analysis of the bipenalty method in contact-impact problems: A one-dimensional, homogeneous case studyJ. Kopacka, A. Tkachuk, D. Gabriel, R. Kolman, M. Bischoff, and J. Plesek. International Journal for Numerical Methods in Engineering, 113 (10): 1607-1629 (2018)A continuum-mechanical theory of redundancy in elastostatic structuresJ. Gade, A. Tkachuk, M. Scheven, and M. Bischoff. International journal of solids and structures, 226-227 (September): 110977 (2021)Level Set Topology Optimization of Printed Active CompositesK. Maute, A. Tkachuk, J. Wu, H. Qi, Z. Ding, and M. Dunn. Journal of Mechanical Design, (2015)Variational methods for consistent singular and scaled mass matricesA. Tkachuk. (2013)Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scalingA. Tkachuk, and M. Bischoff. International journal for numerical methods in engineering, 101 (6): 435-469 (2015)