Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing | Zendy

Arnd Rösch | Zendy; Boris Vexler | Zendy

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Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing

Author(s) -

Arnd Rösch,

Boris Vexler

Publication year - 2006

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/050637364

Subject(s) - discretization , pointwise , mathematics , finite element method , piecewise , a priori and a posteriori , optimal control , stokes flow , mathematical analysis , constant (computer programming) , mathematical optimization , computer science , geometry , philosophy , physics , epistemology , thermodynamics , flow (mathematics) , programming language

An optimal control problem for 2d and 3d Stokes equations is investigated with pointwise control constraints. This paper is concerned with the discretization of the control by piecewise constant functions. The state and the adjoint state are discretized by finite element schemes. In the paper a postprocessing strategy is suggested, which allows for significant improvement of the accuracy.

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