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Recent Advances in Mesh Adaptivity for Optimal Control

Liu, WenBin (2001) Recent Advances in Mesh Adaptivity for Optimal Control. In: Fast Solution of Discretized Optimization Problems Workshop held at the Weierstrass Institute for Applied Analysis and Stochastics. ISNM International Series of Numerical Mathematics . Birkhäuser, Basel, Switzerland, pp. 154-166. ISBN 978-3-0348-9484-5. E-ISBN 978-3-0348-8233-0. (doi:10.1007/978-3-0348-8233-0_12) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:22900)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1007/978-3-0348-8233-0_12

Abstract

In this work, we present a brief review on recent developments on adaptive finite element method for optimal control problems. We review some current approaches commonly used in adaptive finite element method, and further discuss the main obstacles in applying these approaches to finite element approximation of optimal control problems. We then discuss some recent progress in this area and possible future research. In particular, we report upon the recent advances made by the research groups in Kent and Heidelberg.

Item Type: Book section
DOI/Identification number: 10.1007/978-3-0348-8233-0_12
Uncontrolled keywords: control problem; variational inequality; optimal control problem; posteriori error; finite element approximation
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Social Sciences > Kent Business School
Depositing User: Steve Liu
Date Deposited: 29 Jun 2011 12:45 UTC
Last Modified: 06 May 2020 03:05 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/22900 (The current URI for this page, for reference purposes)
Liu, WenBin: https://orcid.org/0000-0001-5966-6235
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