ОПТИМІЗАЦІЯ АНТИДИФУЗІЙНИХ ПОТОКІВ В РІЗНИЦЕВИХ СХЕМАХ ДЛЯ РІВНЯННЯ ПЕРЕНОСУ
Adaptive scheme for numerical solution of the advection equation is considered. The scheme is developed by addition of anti-diffusion terms in the monotone difference scheme of first order. Anti-diffusion flux-determination problem is reduced to optimization problem. Cost functional is selected such...
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| Datum: | 2007 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Ukrainian |
| Veröffentlicht: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2007
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| Online Zugang: | https://jais.net.ua/index.php/files/article/view/328 |
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| Назва журналу: | Problems of Control and Informatics |
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Problems of Control and Informatics| Zusammenfassung: | Adaptive scheme for numerical solution of the advection equation is considered. The scheme is developed by addition of anti-diffusion terms in the monotone difference scheme of first order. Anti-diffusion flux-determination problem is reduced to optimization problem. Cost functional is selected such that to increase accuracy of the adaptive scheme and to provide non-oscillatory of difference solution. Existence and uniqueness of solution for direct and conjugate finite-difference problem is proved. The differential properties of the cost functional are investigated and the necessary first-order optimality conditions are obtained. |
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