The magnetization of a ferromagnetic sample solves a non-convex variational problem, where its relaxation by convexifying the energy density resolves relevant macroscopic information. The numerical analysis of the relaxed model has to deal with a constrained convex but degenerated, nonlocal energy functional in mixed formulation for magnetic potential
Mots-clés : micromagnetics, stationary, nonstationary, microstructure, relaxation, nonconvex minimization, degenerate convexity, finite elements methods, stabilization, penalization, a priori error estimates, a posteriori error estimates
@article{M2AN_2005__39_5_995_0, author = {Funken, Stefan A. and Prohl, Andreas}, title = {Stabilization methods in relaxed micromagnetism}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {995--1017}, publisher = {EDP-Sciences}, volume = {39}, number = {5}, year = {2005}, doi = {10.1051/m2an:2005043}, mrnumber = {2178570}, zbl = {1079.78031}, language = {en}, url = {https://www.numdam.org/articles/10.1051/m2an:2005043/} }
TY - JOUR AU - Funken, Stefan A. AU - Prohl, Andreas TI - Stabilization methods in relaxed micromagnetism JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2005 SP - 995 EP - 1017 VL - 39 IS - 5 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/m2an:2005043/ DO - 10.1051/m2an:2005043 LA - en ID - M2AN_2005__39_5_995_0 ER -
%0 Journal Article %A Funken, Stefan A. %A Prohl, Andreas %T Stabilization methods in relaxed micromagnetism %J ESAIM: Modélisation mathématique et analyse numérique %D 2005 %P 995-1017 %V 39 %N 5 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/m2an:2005043/ %R 10.1051/m2an:2005043 %G en %F M2AN_2005__39_5_995_0
Funken, Stefan A.; Prohl, Andreas. Stabilization methods in relaxed micromagnetism. ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 5, pp. 995-1017. doi : 10.1051/m2an:2005043. https://www.numdam.org/articles/10.1051/m2an:2005043/
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