Error estimates in $ L^2 $ and $ L^\infty $ norms of finite volume method for the bilinear elliptic optimal control problem

Error estimates in $ L^2 $ and $ L^\infty $ norms of finite volume method for the bilinear elliptic optimal control problem

This paper discusses some a priori error estimates of bilinear elliptic optimal control problems based on the finite volume element approximation. A case-based numerical example serves to discuss with optimal $ L^2 $-norm error estimates and $ L^{\infty} $-norm error estimates, and supports two key...

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Bibliographic Details
Main Authors: Zuliang Lu, Xiankui Wu, Fei Cai, Fei Huang, Shang Liu, Yin Yang
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:AIMS Mathematics
Subjects:
bilinear elliptic optimal control problem
finite volume method
a priori error estimates
variational discretization
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021498?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2021498?viewType=HTML

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