- Title
- A mixed finite element method for elliptic optimal control problems using a three-field formulation
- Creator
- Lamichhane, B. P.; Kumar, A.; Kalyanaraman, B.
- Relation
- 13th Biennial Engineering Mathematics and Applications Conference. Proceedings of 13th Biennial Engineering Mathematics and Applications Conference (EMAC 2017) (Auckland, New Zealand 29 November-01 December, 2017) p. C97-C111
- Publisher Link
- http://dx.doi.org/10.21914/anziamj.v59i0.12643
- Publisher
- Australian Mathematical Society
- Resource Type
- conference paper
- Date
- 2017
- Description
- In this paper, we consider an optimal control problem governed by elliptic differential equations posed in a three-field formulation. Using the gradient as a new unknown we write a weak equation for the gradient using a Lagrange multiplier. We use a biorthogonal system to discretise the gradient, which leads to a very efficient numerical scheme. A numerical example is presented to demonstrate the convergence of the finite element approach.
- Subject
- optimal control; biorthogonal system; a priori error estimates
- Identifier
- http://hdl.handle.net/1959.13/1446190
- Identifier
- uon:42790
- Language
- eng
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