By combining the finiteelementmethod with dynamicprogramming, the dynamicfiniteelement & nonlinear programmingmethod (the dynamic FE&NLP method, i.e. the finiteelement & dynamicprogrammingmethod (...
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By combining the finiteelementmethod with dynamicprogramming, the dynamicfiniteelement & nonlinear programmingmethod (the dynamic FE&NLP method, i.e. the finiteelement & dynamicprogrammingmethod (the FE&DP method) is developed and systematized in order to control transient differential equation systems with both equality or inequality constraints and a nonlinear objective function. Such systems are frequently encountered in various engineering and scientific problems of control and optimal design. The dynamic FE&NLP method (the FE&DP method) is applied to optimal control in thermal diffusion phenomena. The tractability in the initial or final condition, 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 with nonlinear objective function.
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