Alouges, François A new finite element scheme for Landau-Lifschitz equations. (English) Zbl 1152.35304 Discrete Contin. Dyn. Syst., Ser. S 1, No. 2, 187-196 (2008). Summary: We describe a new implicit finite element scheme for the discretization of Landau-Lifschitz equations. A proof of convergence of the numerical solution to a (weak) solution of the original equations is given and numerical tests showing the applicability of the method are also provided. Cited in 1 ReviewCited in 50 Documents MSC: 35A35 Theoretical approximation in context of PDEs 35K55 Nonlinear parabolic equations 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 35Q60 PDEs in connection with optics and electromagnetic theory Keywords:proof of convergence; numerical tests PDFBibTeX XMLCite \textit{F. Alouges}, Discrete Contin. Dyn. Syst., Ser. S 1, No. 2, 187--196 (2008; Zbl 1152.35304) Full Text: DOI