- 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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