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Finite element method for hyperbolic heat conduction model with discontinuous coefficients in one dimension

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Abstract

In this article, a fitted finite element method is proposed and analyzed for non-Fourier bio heat transfer model in multi-layered media. Specifically, we employ the Maxwell–Cattaneo equation on the physical media which has a discontinuous coefficients. Convergence properties of the semidiscrete and fully discrete schemes are investigated in the \(L^2\) norm. Optimal a priori error estimates for both the schemes are proved. Numerical experiment is conducted to confirm the theoretical findings.

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Acknowledgements

The authors are grateful to the anonymous referees for their valuable comments and suggestions which greatly improved the presentation of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Cotton University, Guwahati, 781 001, India

    TAZUDDIN AHMED

  2. Department of Mathematics, North Gauhati College, North Guwahati, 781 031, India

    JOGEN DUTTA

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  1. TAZUDDIN AHMED
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  2. JOGEN DUTTA
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Correspondence to JOGEN DUTTA.

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Communicated by Neela Nataraj.

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AHMED, T., DUTTA, J. Finite element method for hyperbolic heat conduction model with discontinuous coefficients in one dimension. Proc Math Sci 132, 6 (2022). https://doi.org/10.1007/s12044-021-00646-3

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  • DOI: https://doi.org/10.1007/s12044-021-00646-3

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