Variational and Finite Element Analysis of Vibroequilibria
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| 024 | 7 | 0 | |a 10.2478/cmam-2004-0017 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2004-0017 | ||
| 245 | 0 | 0 | |a Variational and Finite Element Analysis of Vibroequilibria |h [Elektronische Daten] |
| 520 | 3 | |a We adapt, via asymptotic expansion, Kapitsa's formula for the effective potential of a pendulum with vibrating suspension to rapidly forced potential flows with free boundaries. Determination of time-averaged stationary states leads to an optimal shape design problem. Under periodic boundary conditions existence and uniqueness of smooth minimizers to the averaged energy is proved using local coerciveness. In the numerical part of the article, 2D and 3D finite element approximations including related error estimates are discussed. Some illustrating examples are sketched. | |
| 540 | |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. | ||
| 690 | 7 | |a free boundary flows |2 nationallicence | |
| 690 | 7 | |a timeaveraging |2 nationallicence | |
| 690 | 7 | |a optimal shape design |2 nationallicence | |
| 690 | 7 | |a finite element |2 nationallicence | |
| 700 | 1 | |a Beyer |D K. |u Mathematisches Institut, Universität Leipzig, Augustusplatz 10-11, 04109 Leipzig, Germany. | |
| 700 | 1 | |a Günther |D M. |u Mathematisches Institut, Universität Leipzig, Augustusplatz 10-11, 04109 Leipzig, Germany. | |
| 700 | 1 | |a Timokha |D K. |u Institut für Angewandte Mathematik, Friedrich-Schiller-Universität, Ernst-Abbe-Platz 1-2, 07745 Jena, Germany. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 4/3(2004), 290-323 |x 1609-4840 |q 4:3<290 |1 2004 |2 4 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2004-0017 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2004-0017 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Beyer |D K. |u Mathematisches Institut, Universität Leipzig, Augustusplatz 10-11, 04109 Leipzig, Germany | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Günther |D M. |u Mathematisches Institut, Universität Leipzig, Augustusplatz 10-11, 04109 Leipzig, Germany | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Timokha |D K. |u Institut für Angewandte Mathematik, Friedrich-Schiller-Universität, Ernst-Abbe-Platz 1-2, 07745 Jena, Germany | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 4/3(2004), 290-323 |x 1609-4840 |q 4:3<290 |1 2004 |2 4 |o cmam | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||