Superconvergence of Variational Discretization for Bilinear Elliptic Optimization Problems

DOI

10.2991/ammsa-17.2017.65How to use a DOI?

Keywords

convergence; superconvergence; variational discretization; bilinear elliptic optimal control problems

Abstract

In this paper, variational discretization approximation of bilinear elliptic optimal control problems is considered. Firstly, we construct a variational discretization method for the bilinear elliptic optimal control problem with control constraints. Secondly, we derive the convergence of the approximation scheme. Thirdly, we analyze the superconvergence. Finally, we present a numerical example to conform our theoretical results.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yuelong Tang
AU  - Yuchun Hua
PY  - 2017/05
DA  - 2017/05
TI  - Superconvergence of Variational Discretization for Bilinear Elliptic Optimization Problems
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
PB  - Atlantis Press
SP  - 290
EP  - 293
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-17.2017.65
DO  - 10.2991/ammsa-17.2017.65
ID  - Tang2017/05
ER  -