The objective of this monograph is a numerical analysis of the well-accepted models of Landau, Lifshitz and Gilbert for (electrically conducting) ferromagnets. Part I discusses convergence behavior of different finite element schemes for solving the stationary problem. Part II deals with numerical analyses of different penalization / projection strategies in nonstationary micromagnetism; it closes with a chapter on nematic liquid crystals to show applicability of these new methods to further applications.2.3.1 Proofs of Theorem 2.10 and Corollary 2.1 We start with the verification of Theorem 2.10. ... Ape=aquot; a a(n, V(u - Pw:20aquot;) + (Ve, mh - Pwll2(2, R2)m) +(Ve, V(u - Pwa#39;o)) + Ap1 (Vn, V(m - Pwnage)m)) +((m, e1)R2, (m = Pwll2(2, R2)m, e1)Ra#39;) 8.
|Publisher||:||Springer Science & Business Media - 2013-11-11|