Stability Analysis and Error Estimates of an Exactly Divergence-Free Method for the Magnetic Induction Equations∗

Abstract

In this paper, we consider an exactly divergence-free scheme to solve the magnetic induction equations. This problem is motivated by the numerical simulations of ideal magnetohydrodynamic (MHD) equations, a nonlinear hyperbolic system with a divergence-free condition on the magnetic field. Computational methods without satisfying such condition may lead to… (More)

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