A Priori Error Estimates of Mixed Finite Element Methods for General Linear Hyperbolic Convex Optimal Control Problems
A Priori Error Estimates of Mixed Finite Element Methods for General Linear Hyperbolic Convex Optimal Control Problems
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DOI：
10.1155/2014/547490
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发表时间：
2014-07
影响因子：
--
通讯作者：
Zuliang Lu;Xiao Huang
中科院分区：
文献类型：
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作者：
Zuliang Lu;Xiao Huang
本文研究了一般线性双曲凸最优控制问题的混合有限元离散化问题。状态和协状态用阶Raviart-Thomas混合有限元逼近，控制用阶的分段多项式逼近。通过应用椭圆投影算子和Gronwall引理，我们得到了最优阶的先验误差估计的耦合状态和控制近似。
The aim of this work is to investigate the discretization of general linear hyperbolic convex optimal control problems by using the mixed finite element methods. The state and costate are approximated by the order () Raviart-Thomas mixed finite elements and the control is approximated by piecewise polynomials of order . By applying the elliptic projection operators and Gronwall’s lemma, we derive a priori error estimates of optimal order for both the coupled state and the control approximation.