FAST SOLVER FOR THE MAXWELL QUASI-STATIC EQUATIONS - BLOCK-TOEPLITZ MATRIX - APPLICATION TO MICROMAGNETISM

In order to model ferromagnetic materials in the field of hyperfrequen cies, the magnetostatic equations are coupled with the Landau-Lifshitz evolution system (micromagnetism [1]). The demagnetisation term (magn etostatic) involves the whole space domain, making dynamic simulation very expensive, especially when key phenomena such as wall migrations, domain formation are studied requiring very large systems. To solve t his problem, a new method to integrate the magnetostatic equations is proposed based upon the block-Toeplitz matrix (see [4]) structure of t he discretized equations in the case of regular cubic meshes. (C) Acad emie des Sciences/Elsevier, Paris