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

✍ Scribed by Ting Cheng

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
236 KB
Volume
219
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 u and the magnetic field B and with half-order accuracy in time for the total kinematic pressure P.

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