A priori and a posteriori error analysis for virtual element discretization of elliptic optimal control problem

Author:

Wang Qiming,Zhou Zhaojie

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference30 articles.

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2. Deckelnick, K., Hinze, M.: Convergence of a finite element approximation to a state-constrained elliptic control problem. SIAM J. Numer. Anal. 45 (5), 1937–1953 (2007)

3. Fu, H. F., Rui, H. X., Zhou, Z.J.: A posteriori error estimates for optimal control problems constrained by convection-diffusion equations. Front. Math. China 11(11), 55–75 (2016)

4. Niu, H. F., Yang, D. P.: Finite element analysis of optimal control problem governed by stokes equations with L2-norm state-constraints. J. Comput. Appl. Math. 29(5), 589–604 (2011)

5. Weng, Z. F., Yang, J. Z., Lu, X. L.: A stabilized finite element method for the convection dominated diffusion optimal control problem. Appl. Anal. 95(12), 2807–2823 (2016)

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