ERROR ESTIMATES OF FINITE VOLUME ELEMENT METHOD FOR NONLINEAR HYPERBOLIC OPTIMAL CONTROL PROBLEMS
Keywords:
error estimates, variational discretization, hyperbolic optimal control problems, finite volume element methodAbstract
The goal of this paper is to investigate the error estimates of the fininte volume element approximation of optimal control problems governed by nonlinear hyperbolic equations. By using optimize-then-discretize, variational discretization and the finite volume method to solve the distributed optimal control problems. A semi-discrete optimal system is obtained. Meanwhile, we obtain the optimal order error estimates in L\(^{\infty}\)(J ; L2) and L\(^{\infty}\)(J ; H1)-norm.
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Published
2019-02-27
How to Cite
Lu, Z., Li, L., Feng, Y., Cao, L., & Zhang, W. (2019). ERROR ESTIMATES OF FINITE VOLUME ELEMENT METHOD FOR NONLINEAR HYPERBOLIC OPTIMAL CONTROL PROBLEMS. Italian Journal of Pure and Applied Mathematics, 41, 70–84. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7151
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Articoli - Forum Editrice
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Copyright (c) 2019 Zuliang Lu, Lin Li, Yuming Feng, Longzhou Cao, Wei Zhang
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
