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Finite element methods for an optimal steady-state control problem

✍ Scribed by R. A. Meric

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
382 KB
Volume
12
Category
Article
ISSN
0029-5981

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✦ Synopsis

An optimal steady-state control problem governed by an elliptic state equation is solved by several finite element methods. Finite element discretizations are applied to different variational formulations of the problem yielding accurate numerical results as compared with the given analytical solution. It is stated that, for minimum computational effort and high accuracy, 'mixed' finite elements requiring only Co continuity, and approximating the control and state functions simultaneously are better suited to similar 'fourth order' problems.

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