JOURNAL ARTICLE
Goal-oriented adaptivity in control constrained optimal control of partial differential equations
Abstract
Dual-weighted goal-oriented error estimates for a class of pointwise control constrained optimal control problems for second order elliptic partial differential equations are derived. It is demonstrated that the constraints give rise to a primal-dual weighted error term representing the mismatch in the complementarity system due to discretization. Besides a theoretical foundation, numerical results are presented.
Keywords:
Pointwise Discretization Dual (grammatical number) Elliptic partial differential equation Complementarity (molecular biology) Mathematics Optimal control Partial differential equation Mathematical optimization Applied mathematics Numerical partial differential equations Differential equation Computer science Control theory (sociology) Control (management) Mathematical analysis
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21
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Topics
Advanced Numerical Methods in Computational Mathematics
Physical Sciences → Engineering → Computational Mechanics
Computational Fluid Dynamics and Aerodynamics
Physical Sciences → Engineering → Computational Mechanics
Advanced Mathematical Modeling in Engineering
Physical Sciences → Computer Science → Computational Theory and Mathematics
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