Boundary Element & Linear Programming Method in Optimization of Partial Differential Equation Systems
By combining “boundary element method with linear programming, a new optimization technique (boundary element & linear programming method, or, the BE&LP method) is developed and systematized in order to control partial differential equation systems with both equality or inequality constraints and an objective function. The BE&LP method is applied to optimal control problems in heat conduction phenomena. Minimization of total of the controllable loads to meet with temperature requirements is performed by using simplex method of linear programming. The tractability in both the boundary conditions and the equality or inequality constraints makes sure that the method becomes a powerful technique for several new types of boundary value problems.
KeywordsOptimal Control Problem Boundary Element Boundary Element Method Inequality Constraint Controllable Load
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