Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity

Tanmay Sarkar

Applied Mathematics and Computation, 2017, vol. 314, issue C, 212-227

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.

Keywords: Discontinuous Galerkin methods; Magnetic induction; Divergence constraint; Error analysis; Rate of convergence (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:314:y:2017:i:c:p:212-227

DOI: 10.1016/j.amc.2017.07.018

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