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The finite volume element method for a parameter identification problem

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Abstract

In this paper we use finite volume element method to solve a parameter identification problem of parabolic equations with overspecified-data. We provide the numerical scheme of the unknown function and control parameters and obtain the error estimates of approximate solution. The results of the numerical experiment are presented and are compared with the exact solution to confirm the good accuracy of the presented scheme.

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Acknowledgments

A Project Supported by Scientific Research Fund of Hunan Provincial Education Department (No. 12A050) and Hunan Science and Technology Project (No. 2014FJ3045). This work was supported by the special funds of modern information service industry of Guangdong Province (No. GDEID2011IS038) and Combination of Guangdong Province, the Ministry of Education project (Nos. 2011B090400480 and 2012B091000073). The authors express their thanks to the referees for their helpful suggestions, which led to improvements of the presentation.

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Authors and Affiliations

  1. School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, 411201, Hunan, China

    Zhiguang Xiong, Kang Deng, Yanping Liu & Xiaocui Yan

  2. School of Computers, Guangdong University of Technology, Guangzhou, 510006, Guangdong, China

    Zhusong Liu

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  1. Zhiguang Xiong
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  2. Kang Deng
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  3. Zhusong Liu
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  4. Yanping Liu
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  5. Xiaocui Yan
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Correspondence to Zhiguang Xiong.

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Xiong, Z., Deng, K., Liu, Z. et al. The finite volume element method for a parameter identification problem. J Ambient Intell Human Comput 6, 533–539 (2015). https://doi.org/10.1007/s12652-014-0238-7

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  • DOI: https://doi.org/10.1007/s12652-014-0238-7

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