메뉴 건너뛰기




Volumn 42, Issue 6, 2005, Pages 2633-2651

Numerical analysis for a macroscopic model in micromagnetics

Author keywords

A posteriori error estimates; A priori error estimates; Adaptive algorithm; Degenerate problems; Integral operators; Micromagnetics; Microstructure; Newton potential; Nonconvex minimization; Panel clustering; Relaxation; Variational problems

Indexed keywords

ADAPTIVE ALGORITHMS; ERROR ANALYSIS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; NUMERICAL ANALYSIS; SOFT MAGNETIC MATERIALS;

EID: 26844490861     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614290343565X     Document Type: Article
Times cited : (12)

References (21)
  • 2
    • 0004256792 scopus 로고
    • John Wiley and Sons, New York
    • W. F. BROWN, Micromagnetics, John Wiley and Sons, New York, 1963.
    • (1963) Micromagnetics
    • Brown, W.F.1
  • 3
    • 0242415452 scopus 로고    scopus 로고
    • Adaptive finite element error control for non-convex minimization problems: Numerical two-well model example allowing microstructures
    • C. CARSTENSEN AND K. JOCHIMSEN, Adaptive finite element error control for non-convex minimization problems: Numerical two-well model example allowing microstructures, Computing, 71 (2003), pp. 175-204.
    • (2003) Computing , vol.71 , pp. 175-204
    • Carstensen, C.1    Jochimsen, K.2
  • 4
    • 1842511717 scopus 로고    scopus 로고
    • A posteriori error control in adaptive qualocation boundary element analysis for a logarithmic-kernel integral equation of the first kind
    • C. CARSTENSEN AND D. PRAETORIUS, A posteriori error control in adaptive qualocation boundary element analysis for a logarithmic-kernel integral equation of the first kind, SIAM J. Sci. Comput., 25 (2003), pp. 259-283.
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 259-283
    • Carstensen, C.1    Praetorius, D.2
  • 5
    • 0035526468 scopus 로고    scopus 로고
    • Numerical analysis of relaxed micromagnetics by penalised finite elements
    • C. CARSTENSEN AND A. PROHL, Numerical analysis of relaxed micromagnetics by penalised finite elements, Numer. Math., 90 (2001), pp. 65-99.
    • (2001) Numer. Math. , vol.90 , pp. 65-99
    • Carstensen, C.1    Prohl, A.2
  • 6
    • 34249770495 scopus 로고
    • Energy minimizers for large ferromagnetic bodies
    • A. DESIMONE, Energy minimizers for large ferromagnetic bodies, Arch. Rational Mech. Anal., 125 (1993), pp. 99-143.
    • (1993) Arch. Rational Mech. Anal. , vol.125 , pp. 99-143
    • Desimone, A.1
  • 7
    • 0013015427 scopus 로고    scopus 로고
    • On Stabilized Finite Element Methods in Relaxed Micromagnetism
    • Report 00-02
    • S. A. FUNKEN AND A. PROHL, On Stabilized Finite Element Methods in Relaxed Micromagnetism, Report 00-02, Berichtsreihe des Math. Sem. Kiel, 2000; preprint available from http://www.numerik.uni-kiel.de/reports/1999/99-18.html.
    • (2000) Berichtsreihe des Math. Sem. Kiel
    • Funken, S.A.1    Prohl, A.2
  • 8
    • 0003304216 scopus 로고
    • Elliptic partial differential equations of second order
    • Springer-Verlag, New York
    • D. GILBARG AND N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Grundlehren Math. Wiss. 224, Springer-Verlag, New York, 1977.
    • (1977) Grundlehren Math. Wiss. , vol.224
    • Gilbarg, D.1    Trudinger, N.S.2
  • 9
    • 0036282143 scopus 로고    scopus 로고
    • Direct integration of the Newton potential over cubes including a program description
    • W. HACKBUSCH, Direct integration of the Newton potential over cubes including a program description, Computing, 68 (2002), pp. 193-216.
    • (2002) Computing , vol.68 , pp. 193-216
    • Hackbusch, W.1
  • 13
    • 0026843542 scopus 로고
    • Analysis of the finite element approximation of microstructure in micromagnetics
    • M. LUSKIN AND L. MA, Analysis of the finite element approximation of microstructure in micromagnetics, SIAM J. Numer. Anal., 29 (1992), pp. 320-331.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 320-331
    • Luskin, M.1    Ma, L.2
  • 18
    • 29144516910 scopus 로고    scopus 로고
    • Application of H-matrix techniques for micromagnetics
    • to appear
    • N. POPOVIĆ AND D. PRAETORIUS, Application of H-matrix techniques for micromagnetics, Computing, to appear.
    • Computing
    • Popović, N.1    Praetorius, D.2
  • 19
    • 8844259734 scopus 로고    scopus 로고
    • -1div arising in magnetic models
    • -1div arising in magnetic models, Z. Anal. Anwendungen, 23 (2004), pp. 589-605.
    • (2004) Z. Anal. Anwendungen , vol.23 , pp. 589-605
    • Praetorius, D.1
  • 21
    • 0000653587 scopus 로고
    • Beyond Young Measures
    • L. TARTAR, Beyond Young Measures, Meccanica, 30 (1995), pp. 505-526.
    • (1995) Meccanica , vol.30 , pp. 505-526
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.