A convergent finite element approximation for the quasi-static MaxwellLandauLifshitzGilbert equations ?
We propose a ? ? -linear scheme for the numerical solution of the quasi-static MaxwellLandauLifshitzGilbert (MLLG) equations. Despite the strong nonlinearity of the LandauLifshitzGilbert 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 ? ? ( 1 2 , 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.
finite element maxwelllandaulifshitzgilbert ferromagnetism