VARIATIONAL DISCRETIZATION AND MIXED METHODS FOR SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS WITH INTEGRAL CONSTRAINT
Publish place: Journal of Computational and Applied Research in Mechanial Engineering، Vol: 1، Issue: 1
Publish Year: 1391
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JCARME-1-1_003
تاریخ نمایه سازی: 17 خرداد 1393
Abstract:
The aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. The state and co-state areapproximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discreted. Optimal error estimates in L2 are established for the state and the control variable. As a result, it can be provedthat the discrete solutions possess the convergence property of order h . Finally, a numerical example is presented which confirms the theoretical results.
Keywords:
Priori error estimates , Parabolic optimal control , Integral constraint , Mixed finite element method , Variational discretization
Authors
Zuliang lu
School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing ۴۰۴۰۰۰,P.R.China;College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan ۴۱۱۱۰۵, P.R.China