A mixed finite element method using a biorthogonal system for optimal control problems governed by a biharmonic equation

Title: A mixed finite element method using a biorthogonal system for optimal control problems governed by a biharmonic equation
Creator: Lamichhane, Bishnu Prasad; Nataraj, Nataraj; Verma, Deepanshu
Relation: ANZIAM Journal Vol. 64, p. C45-C61
Publisher Link: http://dx.doi.org/10.21914/anziamj.v64.17961
Publisher: Cambridge University Press
Resource Type: journal article
Date: 2023
Description: In this article, we consider an optimal control problem governed by a biharmonic equation with clamped boundary conditions. We use the Ciarlet--Raviart formulation combined with a biorthogonal system to obtain an efficient numerical scheme. We discuss the a priori error analysis and present results of the numerical experiments that validate the theoretical estimates.
Subject: biharmonic equation; clamped boundary conditions; ciarlet–raviart formulation; biorthogonal system
Identifier: http://hdl.handle.net/1959.13/1504186
Identifier: uon:55469
Identifier: ISSN:1446-1811
Language: eng
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