
AbstractA chemical reactor problem is considered governed by partial differential equations. We wish to control the input temperature and the input oxygen concentration so that the actual output temperature can be as close to the desired output temperature as possible. By linearizing the differential equations around a nominal equation and then applying a finite-element Galerkin Scheme to the resulting system, the original problem can be converted into a sequence of linearly-constrained quadratic programming problems.
input temperature, Numerical mathematical programming methods, Pursuit and evasion games, linearly-constrained quadratic programming problems, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Classical flows, reactions, etc. in chemistry, nonlinear diffusion equations, input oxygen concentration, Differential games and control
input temperature, Numerical mathematical programming methods, Pursuit and evasion games, linearly-constrained quadratic programming problems, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Classical flows, reactions, etc. in chemistry, nonlinear diffusion equations, input oxygen concentration, Differential games and control
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