Superconvergence for General Convex Optimal Control Problems Governed by Semilinear Parabolic Equations | Zendy

Yongquan Dai | Zendy; Yanping Chen | Zendy

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Superconvergence for General Convex Optimal Control Problems Governed by Semilinear Parabolic Equations

Author(s) -

Yongquan Dai,

Yanping Chen

Publication year - 2014

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.1155/2014/579047

Subject(s) - superconvergence , piecewise , mathematics , regular polygon , constant (computer programming) , optimal control , mathematical analysis , finite element method , state (computer science) , piecewise linear function , variable (mathematics) , mathematical optimization , geometry , physics , computer science , thermodynamics , programming language , algorithm

We will investigate the superconvergence for the semidiscrete finite element approximation of distributed convex optimal control problems governed by semilinear parabolic equations. The state and costate are approximated by the piecewise linear functions and the control is approximated by piecewise constant functions. We present the superconvergence analysis for both the control variable and the state variables.

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