A penalty approach to the numerical simulation of a constrained wave motion
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| 024 | 7 | 0 | |a 10.1515/156939503322663458 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/156939503322663458 | ||
| 245 | 0 | 2 | |a A penalty approach to the numerical simulation of a constrained wave motion |h [Elektronische Daten] |c [R. Glowinski, A. Lapin, S. Lapin] |
| 520 | 3 | |a The main goal of this article is to investigate the numerical solution of a vector-valued nonlinear wave equation, the nonlinearity being of the Ginzburg-Landau type, namely (|u|2-1)u. This equation is obtained when treating by penalty a constrained wave-motion, where the displacement vector is of constant length (1 here, after rescaling). An important step of the approximation process is the construction of a time discretization scheme preserving - in some sense - the energy conservation property of the continuous model. The stability properties of the above scheme are discussed. The authors discuss also the finite element approximation and the quasi-Newton solution of the nonlinear elliptic system obtained at each time step from the time discretization. The results of numerical experiments are presented; they show that for the constraint of the original wave problem to be accurately verified we need to use a small value of the penalty parameter. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 690 | 7 | |a Penalty approach |2 nationallicence | |
| 690 | 7 | |a numerical simulation |2 nationallicence | |
| 690 | 7 | |a constrainedwave motion |2 nationallicence | |
| 700 | 1 | |a Glowinski |D R. |u University of Houston, Houston, TX, 77204, USA |4 aut | |
| 700 | 1 | |a Lapin |D A. |u Kazan State University, Kazan 420008, Russia |4 aut | |
| 700 | 1 | |a Lapin |D S. |u University of Houston, Houston, TX, 77204, USA |4 aut | |
| 773 | 0 | |t Journal of Numerical Mathematics |d Walter de Gruyter |g 11/4(2003-12-01), 289-300 |x 1570-2820 |q 11:4<289 |1 2003 |2 11 |o jnma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939503322663458 |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/10.1515/156939503322663458 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Glowinski |D R. |u University of Houston, Houston, TX, 77204, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lapin |D A. |u Kazan State University, Kazan 420008, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lapin |D S. |u University of Houston, Houston, TX, 77204, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Numerical Mathematics |d Walter de Gruyter |g 11/4(2003-12-01), 289-300 |x 1570-2820 |q 11:4<289 |1 2003 |2 11 |o jnma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||