Name
Abstract | ||
|---|---|---|
Summary. Modeling of micromagnetic phenomena typically faces the minimization of a non-convex problem, which gives rise to highly
oscillatory magnetization structures. Mathematically, this necessitates to extend the notion of Lebesgue-type solutions to
Young-measure valued solutions. The present work proposes and analyzes a conforming finite element method that is based on
an active set strategy to compute efficiently discrete solutions of the generalized minimization problem. Computational experiments
are given to show the efficiency of the scheme.
|
Year | DOI | Venue |
|---|---|---|
2001 | 10.1007/s002110100286 | Numerische Mathematik |
Keywords | Field | DocType |
Mathematics Subject Classification (1991): 49K20, 65K10, 65N30, 65N15, 65N50 | Oscillation,Mathematical optimization,Lagrange multiplier,Mathematical analysis,Young measure,Finite element method,Weak solution,Minification,Micromagnetics,Maxwell's equations,Mathematics | Journal |
Volume | Issue | ISSN |
90 | 2 | 0945-3245 |
Citations | PageRank | References |
7 | 1.48 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Martin Kruzík | 1 | 39 | 10.67 |
| Andreas Prohl | 2 | 302 | 67.29 |