Error estimate of a first-order time discretization scheme for the geodynamo equations

摘要

In this paper, we analyze a first-order time discretization scheme for a nonlinear geodynamo model and carry out the convergence analysis of this numerical scheme. It is concluded that our numerical scheme converges with first-order accuracy in the sense of L-2-norm with respect to the velocity field it and the magnetic field B and with half-order accuracy in little for the total kinematic pressure P. (C) 2007 Elsevier B.V. All rights reserved.