Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem-Reference-Cited by-同舟云学术

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Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem

Published:2023-12-01 Issue:1 Volume:34 Page:
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Lin Xiuxiu,Chen Yanping,Huang Yunqing

Funder

National Natural Science Foundation of China

Scientific Research and Cultivation Fund for Young Teachers of South China Normal University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Link

https://link.springer.com/content/pdf/10.1007/s00332-023-09991-1.pdf

Reference39 articles.

1. Apel, T., Mateos, M., Pfefferer, J., Rösch, A.: Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Math. Control Relat. Fields 8(1), 217–245 (2018)

2. Arada, N., Casas, E., Tröltzsch, F.: Error estimates for the numerical approximation of a semilinear elliptic control problem. Comput. Optim. Appl. 23(2), 201–229 (2002)

3. Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A.: Spectral Methods in Fulid Dynamics. Springer-Verlag, Berlin (1988)

4. Casas, E., Mateos, M., Rösch, A.: Error estimates for semilinear parabolic control problems in the absence of Tikhonov term. SIAM J. Control Optim. 57(4), 2515–2540 (2019)

5. Casas, E., Tröltzsch, F.: Second order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations. Appl. Math. Optim. 39, 211–227 (1999)

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