Solving of optimal control problem of parabolic PDEs in exploitation of oil by iterative dynamic programming

DOI10.1016/J.AMC.2006.02.038zbMath1105.65072OpenAlexW2065567040MaRDI QIDQ856153

N. E. Zubov

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.038

zbMATH Keywords

finite-difference methoditerative dynamic programmingweak coupled parabolic PDEs

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Dynamic programming in optimal control and differential games (49L20) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Existence theories for optimal control problems involving partial differential equations (49J20) Potentials, prospecting (86A20)

Related Items (1)

A numerical approach to an optimal boundary control of the viscous Burgers' equation

Cites Work

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• Optimal control of systems of parabolic PDEs in exploitation of oil
• Optimal control by dynamic programming using systematic reduction in grid size
• The optimal control of the linear wave equation

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