ENG  Vol.4 No.7 , July 2012
Optimality Conditions and Algorithms for Direct Optimizing the Partial Differential Equations
Author(s) Victor K. Tolstykh*
Abstract
New form of necessary conditions for optimality (NCO) is considered. They can be useful for design the direct infinite- dimensional optimization algorithms for systems described by partial differential equations (PDE). Appropriate algo-rithms for unconstrained minimizing a functional are considered and tested. To construct the algorithms, new form of NCO is used. Such approach demonstrates fast uniform convergence at optimal solution in infinite-dimensional space.

Cite this paper
V. Tolstykh, "Optimality Conditions and Algorithms for Direct Optimizing the Partial Differential Equations," Engineering, Vol. 4 No. 7, 2012, pp. 390-393. doi: 10.4236/eng.2012.47051.
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