A numerical scheme for the Maxwell equations in the quasi-static regime with a non-local source

作者：Durand Stephane^*; Slodicka Marian

来源：Journal of Computational and Applied Mathematics, 2010, 233(12): 3157-3166.

DOI：10.1016/j.cam.2009.11.014

• Finite elements
• Full discretization
• Non-local source
• Error estimates

In this paper we study a non-linear evolution equation, based on quasi-static electromagnetic fields, with a non-local field-dependent source. This model occurs in transformer driven active magnetic shielding. We present a numerical scheme for both time and space discretization and prove convergence of this scheme. We also derive the corresponding error estimates.

• 出版日期2010-4-15