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.
©2009 Society for Industrial and Applied Mathematics