A convergent and precise finite element scheme for   Landau-Lifschitz-Gilbert equation
  In this paper, we rigorously study an order 2 scheme that was previously proposed by some of the authors. A slight modification is proposed that enables us to prove the convergence of the scheme while simplifying in the same time the inner iteration. 
Fran\c{c}ois Alouges, Evaggelos Kritsikis, Jutta Steiner,   Jean-Christophe Toussaint
math.NA