LOCAL ERROR ESTIMATES FOR SUPG SOLUTIONS OF ADVECTION-DOMINATED ELLIPTIC LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS

We derive local error estimates for the discretization of optimal control problems governed by linear advection-diffusion partial differential equations (PDEs) using the streamline upwind/Petrov Galerkin (SUPG) stabilized finite element method. We show that if the SUPG method is used to solve optimi...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 47; no. 6; pp. 4607 - 4638
Main Authors:	HEINKENSCHLOSS, MATTHIAS, LEYKEKHMAN, DMITRIY
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2010
Subjects:	Adjoints Advection Applied mathematics Boundary layers Calculus of variations and optimal control Cauchy Schwarz inequality Convergence Environmental pollution Equations of state Error rates Errors Exact sciences and technology Finite element method Greens function Mathematical analysis Mathematical models Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Optimal control Optimization Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use 65N15 Error estimation Optimization method Advection diffusion equation Partial differential equation Finite element method Elliptic equation 49K20 Linear equation advection-diffusion equations Convergence rate 65J10 49M25 Boundary layer Convergence acceleration streamline upwind/Petrov Galerkin Initial value problem Control system Optimal convergence Discretization method local error estimates Galerkin-Petrov method Numerical analysis Boundary value problem Optimal control Optimal solution Optimal approximation stabilized finite elements discretization
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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