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Finite element methods for an optimal steady‐state control problem
Author(s) -
Meric R. A.
Publication year - 1978
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620120906
Subject(s) - finite element method , mathematics , mixed finite element method , optimal control , steady state (chemistry) , extended finite element method , state (computer science) , smoothed finite element method , finite element limit analysis , mathematical optimization , mathematical analysis , boundary knot method , algorithm , engineering , structural engineering , chemistry , boundary element method
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 sated that, for minimum computational effort and high accuracy, ‘mixed’ finite elements requiring only C ° continuity, and approximating the control and state functions simultaneously are better suited to similar ‘fourth order’ problems.