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Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity

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  • Sarkar, Tanmay

Abstract

We design and analyze the interior penalty discontinuous Galerkin discretization of the magnetic induction equation with resistivity. The resulting semi-discrete scheme is shown to be energy stable and consistent. Numerical experiments are performed in order to demonstrate the accuracy and convergence of the DG scheme through the L2-error and divergence error analysis by incorporating several time discretization schemes.

Suggested Citation

  • Sarkar, Tanmay, 2017. "Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 212-227.
    • Handle: RePEc:eee:apmaco:v:314:y:2017:i:c:p:212-227
    DOI: 10.1016/j.amc.2017.07.018
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    References listed on IDEAS

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    1. Betancourt, Fernando & Rohde, Christian, 2016. "Finite-volume schemes for Friedrichs systems with involutions," Applied Mathematics and Computation, Elsevier, vol. 272(P2), pages 420-439.
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    Cited by:

    1. Tanmay Sarkar, 2023. "Optimal error estimates of an IPDG scheme for the resistive magnetic induction equation," Partial Differential Equations and Applications, Springer, vol. 4(4), pages 1-33, August.

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