Optimal error estimates of an IPDG scheme for the resistive magnetic induction equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s42985-023-00245-z.pdf
Reference33 articles.
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2. Besse, N., Kröner, D.: Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system. ESAIM Math. Model. Numer. Anal.-Modélisation Mathématique et Analyse Numérique 39(6), 1177–1202 (2005)
3. Biskamp, D.: Nonlinear Magnetohydrodynamics, vol. 1. Cambridge University Press, Cambridge (1997)
4. Brackbill, J.U., Barnes, D.C.: The effect of nonzero $${\nabla \cdot }$$ B on the numerical solution of the magnetohydrodynamic equations. J. Comput. Phys. 35(3), 426–430 (1980)
5. Bohm, M., Winters, A.R., Gassner, G.J., Derigs, D., Hindenlang, F., Saur, J.: An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification. J. Comput. Phys. 422, 108076 (2020)
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