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Local A Posteriori Error Estimates for Convex Boundary Control Problems
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Update time: 2009-07-22
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Local A Posteriori Error Estimates for Convex Boundary Control Problems

SIAM J. Numer. Anal. Volume 47, Issue 3, pp. 1886-1908 (2009)

Published May 13, 2009

 

In this paper, we derive some improved a posteriori error estimates for finite element approximation of Neumann boundary control problems. We first establish local upper a posteriori error estimates for both the state and the control approximation of the general convex boundary control problems. We then derive local upper and lower a posteriori error estimates for a class of control problems that frequently appear in applications.

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