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Discontinuous finite volume element methods for the optimal control of Brinkman equations

Abstract:
We introduce and analyse a family of hybrid discretisations based on lowest order discontinuous finite volume elements for the approximation of optimal control problems constrained by the Brinkman equations. The classical optimisethen-discretise approach is employed to handle the control problem leading to a non-symmetric discrete formulation. An a priori error estimate is derived for the control variable in the L2􀀀norm, and we exemplify the properties of the method with a numerical test in 3D.
Publication status:
Published
Peer review status:
Peer reviewed

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Department:
Oxford, MPLS, Mathematical Institute
Sandilya, R More by this author
Publisher:
Springer Publisher's website
Publication date:
2017-05-05
Acceptance date:
2017-04-26
DOI:
Pubs id:
pubs:694034
URN:
uri:f3f82e85-2a80-46ca-8296-2b00ac38d33a
UUID:
uuid:f3f82e85-2a80-46ca-8296-2b00ac38d33a
Local pid:
pubs:694034

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