Title :
Discontinuous Galerkin methods for distributed control problems of a scalar hyperbolic equation
Author :
Chang Lili ; Gong Wei ; Yan Ningning
Author_Institution :
Acad. of Math. & Syst. Sci., Chinese Acad. of Sci., Beijing, China
Abstract :
In this paper, we study the numerical approximation of distributed control problems for a scalar hyperbolic equation. Based on a Discontinuous Galerkin scheme, we establish a numerical approximation of the underlying optimal control problem. We give a priori error analysis and obtain optimal order of convergence for both state and optimal control. Numerical experiments confirm the theoretical results we obtained.
Keywords :
Galerkin method; approximation theory; convergence of numerical methods; distributed control; hyperbolic equations; optimal control; discontinuous Galerkin Methods; distributed control problems; numerical approximation; optimal control problem; scalar hyperbolic equation; Approximation methods; Convergence; Equations; Error analysis; Finite element methods; Moment methods; Optimal control; A Priori Error Estimate; Control Constraints; Discontinuous Galerkin Method; Optimal Control Problem; Transport-Reaction Equation;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6
