High-order upwind finite volume element method for first-order hyperbolic optimal control problems
Zhang, Qian ; Yan, Jinliang ; Zhang, Zhiyue
ANZIAM Journal, Tome 56 (2016), / Harvested from Australian Mathematical Society
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We present a high-order upwind finite volume element method to solve optimal control problems governed by first-order hyperbolic equations. The method is efficient and easy for implementation. Both the semi-discrete error estimates and the fully discrete error estimates are derived. Optimal order error estimates in the sense of \(L_{2}\)-norm are obtained. Numerical examples are provided to confirm the effectiveness of the method and the theoretical results. doi:10.1017/S1446181116000031

Publié le : 2016-01-01
DOI : https://doi.org/10.21914/anziamj.v57i0.9038 
@article{9038,
     title = {High-order upwind finite volume element method for first-order hyperbolic optimal control problems},
     journal = {ANZIAM Journal},
     volume = {56},
     year = {2016},
     doi = {10.21914/anziamj.v57i0.9038},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/9038}
}

Zhang, Qian; Yan, Jinliang; Zhang, Zhiyue. High-order upwind finite volume element method for first-order hyperbolic optimal control problems. ANZIAM Journal, Tome 56 (2016) . doi : 10.21914/anziamj.v57i0.9038. http://gdmltest.u-ga.fr/item/9038/