A Priori Error Estimates for Optimal Control Problems Governed by Transient Advection-Diffusion Equations-Reference-Cited by-同舟云学术

A Priori Error Estimates for Optimal Control Problems Governed by Transient Advection-Diffusion Equations

Published:2008-07-25 Issue:3 Volume:38 Page:290-315
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Fu Hongfei,Rui Hongxing

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-008-9224-6.pdf

Reference24 articles.

1. Alt, W., Mackenroth, U.: Convergence of finite element approximation to state constraint convex parabolic boundary control problems. SIAM J. Control Optim. 27, 718–736 (1989)

2. Becker, R., Kapp, H., Rannacher, R.: Adaptive finite element methods for optimal control of partial differential equations: Basic concept. SIAM J. Control Optim. 39, 113–132 (2000)

3. Brenner, S.C., Scott, L.R.: The Mathematical Theory of Finite Element Methods. Springer, Berlin (2002)

4. Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. SIAM, Philadelphia (2002)

5. Douglas, J., Russell, T.F.: Numerical methods for convection-dominated diffusion problems based on combining the method of with finite element or finite difference procedures. SIAM J. Numer. Anal. 19, 871–885 (1982)

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