A confirmed record of the European catfish Silurus glanis L., 1758 (Actinopterygii: Siluriformes: Siluridae) from the southern marshes of Iraq, with a new anatomical set of characters to separate S. glanis and S. triostegus
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Publication Date
Tue Sep 29 2020
Journal Name
Iraqi Journal Of Science
Mixed Implicit Galerkin – Frank Wolf, Gradient and Gradient Projection Methods for Solving Classical Optimal Control Problem Governed by Variable Coefficients, Linear Hyperbolic, Boundary Value Problem
Numerical classical optimal control
Galerkin finite element method
Gradient Projection method
Gradient method
Frank Wolfe method
This paper deals with testing a numerical solution for the discrete classical optimal control problem governed by a linear hyperbolic boundary value problem with variable coefficients. When the discrete classical control is fixed, the proof of the existence and uniqueness theorem for the discrete solution of the discrete weak form is achieved. The existence theorem for the discrete classical optimal control and the necessary conditions for optimality of the problem are proved under suitable assumptions. The discrete classical optimal control problem (DCOCP) is solved by using the mixed Galerkin finite element method to find the solution of the discrete weak form (discrete state). Also, it is used to find the solution for the discrete adj
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