Superconvergence for optimal control problems governed by semilinear parabolic equations

Superconvergence for optimal control problems governed by semilinear parabolic equations

In this paper, we first investigate optimal control problem for semilinear parabolic and introduce the standard $ L^2(\Omega) $-orthogonal projection and the elliptic projection. Then we present some necessary intermediate variables and their error estimates. At last, we derive the error estimates b...

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Bibliographic Details
Main Authors: Chunjuan Hou, Zuliang Lu, Xuejiao Chen, Xiankui Wu, Fei Cai
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:AIMS Mathematics
Subjects:
finite element approximation
semilinear parabolic equation
optimal control problem
the elliptic projection
l<sup>2</sup>-orthogonal projection
superconvergence
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022522?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022522?viewType=HTML

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