A Posteriori Error Estimates of Triangular Mixed Finite Element Methods for Semilinear Optimal Control Problems
Year: 2009
Author: Zuliang Lu, Yanping Chen
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 2 : pp. 242–256
Abstract
In this paper, we present an a posteriori error estimates of semilinear quadratic constrained optimal control problems using triangular mixed finite element methods. The state and co-state are approximated by the order $k\leq 1$ Raviart- Thomas mixed finite element spaces and the control is approximated by piecewise constant element. We derive a posteriori error estimates for the coupled state and control approximations. A numerical example is presented in confirmation of the theory.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-AAMM-8367
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 2 : pp. 242–256
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Semilinear optimal control problems mixed finite element methods a posteriori error estimates.