Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471971 | Computers & Mathematics with Applications | 2013 | 14 Pages |
Abstract
We propose a θθ-linear scheme for the numerical solution of the quasi-static Maxwell–Landau–Lifshitz–Gilbert (MLLG) equations. Despite the strong nonlinearity of the Landau–Lifshitz–Gilbert equation, the proposed method results in a linear system at each time step. We prove that as the time and space steps tend to zero (with no further conditions when θ∈(12,1]), the finite element solutions converge weakly to a weak solution of the MLLG equations. Numerical results are presented to show the applicability of the method.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Kim-Ngan Le, Thanh Tran,