Volume 3, Issue 3
Superconvergence of Finite Element Methods for Optimal Control Problems Governed by Parabolic Equations with Time-Dependent Coefficients

Yuelong Tang and Yanping Chen


East. Asia. J. Appl. Math., 3 (2013), pp. 209-227.

Preview Full PDF 1 69
  • Abstract

In this article, a fully discrete finite element approximation is investigated for constrained parabolic optimal control problems with time-dependent coefficients. The spatial discretisation invokes finite elements, and the time discretisation a nonstandard backward Euler method. On introducing some appropriate intermediate variables and noting properties of the L 2 projection and the elliptic projection, we derive the superconvergence for the control, the state and the adjoint state. Finally, we discuss some numerical experiments that illustrate our theoretical results.

  • History

Published online: 2018-02

  • AMS Subject Headings

35B37, 49J20, 65N30

  • Cited by