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 optimise-then-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 \(L^2-\mathrm{norm}\), and we exemplify the properties of the method with a numerical test in 3D.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.