On a multiscale computational strategy with time and space homogenization for structural mechanics |
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| Affiliation: | 3. Institute of Physics, Opole University of Technology, 75, Ozimska str., 45370 Opole, Poland;4. Vlokh Institute of Physical Optics, 23, Dragomanov str., 79005 Lviv, Ukraine;5. Institute of Physics, Jan Dlugosz University, 13/15, Armii Krajowej al., 42200 Czestochowa, Poland;1. School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK;2. Thales Underwater Systems Ltd, Dolphin House, Ashurst Drive, Cheadle Heath, Stockport SK3 0XB, UK;1. Department of Mathematical and Physical Sciences, Faculty of Science, Japan Women''s University, 2-8-1 Mejirodai, Bunkyo-ku, Tokyo, 112-8681 Japan;2. Department of Mathematics and Computer Science, Karlstad University, SE-651 88 Karlstad, Sweden;1. Biomedical Neuroscience Institute, Faculty of Medicine, University of Chile, Santiago, Chile;2. Institute of Biomedical Sciences, Center for Molecular Studies of the Cell, Santiago, Chile;3. Department of Immunology and Infectious Diseases, Harvard School of Public Health, Boston, MA 02115, USA;1. ER440 “Oncogenesis, Stress & Signaling”, University of Rennes 1, F-35000, France;2. Centre de Lutte Contre le Cancer Eugène Marquis, F-35000 Rennes, France |
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| Abstract: | A new multiscale computational strategy was recently proposed for the analysis of structures described both on a fine space scale and a fine time scale. This strategy, which involves homogenization in space as well as in time, could replace in several domains of application the standard homogenization techniques, which are generally limited to the space domain. It is an iterative strategy which calls for the resolution of problems on both a micro (fine) scale and a macro (homogenized) scale. In this paper, we review the bases of this approach and present improved approximation techniques to solve the micro- and macro-problems. |
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