메뉴 건너뛰기




Volumn 27, Issue 2, 2007, Pages 293-331

A finite-element analysis of critical-state models for type-II superconductivity in 3D

Author keywords

Computational electromagnetism; Convergence; Edge finite element; Macroscopic models for superconductivity; Maxwell's equations; Variational inequality

Indexed keywords

COMPUTATION THEORY; CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); ELECTRIC FIELDS; MAGNETIC FIELDS; MAXWELL EQUATIONS; NONLINEAR EQUATIONS; SUPERCONDUCTING MATERIALS; VARIATIONAL TECHNIQUES;

EID: 34047100200     PISSN: 02724979     EISSN: 14643642     Source Type: Journal    
DOI: 10.1093/imanum/drl021     Document Type: Article
Times cited : (30)

References (37)
  • 2
    • 9344252469 scopus 로고
    • Convergence de fonctionnelles convexes, Journes d'Analyse Non Linaire, Proceedings, Besancon, France, on (1977)
    • Berlin: Springer, pp
    • ATTOUCH, H. (1978) Convergence de fonctionnelles convexes, Journes d'Analyse Non Linaire, Proceedings, Besancon, France, on (1977). Lecture Notes in Mathematics, vol. 665. Berlin: Springer, pp. 1-40.
    • (1978) Lecture Notes in Mathematics , vol.665 , pp. 1-40
    • ATTOUCH, H.1
  • 4
    • 27744475178 scopus 로고    scopus 로고
    • L2-well-posedness of 3D div-curl boundary value problems
    • AUCHMUTY, G. & ALEXANDER, J. C. (2005) L2-well-posedness of 3D div-curl boundary value problems. Q. Appl. Math., 63, 479-508.
    • (2005) Q. Appl. Math , vol.63 , pp. 479-508
    • AUCHMUTY, G.1    ALEXANDER, J.C.2
  • 6
    • 0032669422 scopus 로고    scopus 로고
    • Computer modelling of type II superconductors in applications
    • BARNES, G., MCCULLOCH, M. & DEW- HUGHES, D. (1999) Computer modelling of type II superconductors in applications. Supercond. Sci. Technol., 12, 518-522.
    • (1999) Supercond. Sci. Technol , vol.12 , pp. 518-522
    • BARNES, G.1    MCCULLOCH, M.2    DEW- HUGHES, D.3
  • 7
    • 0342572585 scopus 로고    scopus 로고
    • Bean's critical-state model as the p → ∞ limit of an evolutionary p-Laplacian equation
    • BARRETT, J. W. & PRIGOZHIN, L. (2000) Bean's critical-state model as the p → ∞ limit of an evolutionary p-Laplacian equation. Nonlinear Anal., 42, 977-993.
    • (2000) Nonlinear Anal , vol.42 , pp. 977-993
    • BARRETT, J.W.1    PRIGOZHIN, L.2
  • 9
    • 36149003875 scopus 로고
    • Magnetization of high-field superconductors
    • BEAN, C. P. (1964) Magnetization of high-field superconductors. Rev. Mod. Phys., 36, 31-39.
    • (1964) Rev. Mod. Phys , vol.36 , pp. 31-39
    • BEAN, C.P.1
  • 10
    • 0038243306 scopus 로고    scopus 로고
    • A finite element method with Lagrange multipliers for low-frequency harmonic Maxwell equations
    • BERMÚDEZ, A., RODRÍGUEZ, R. & SALGADO, P. (2002) A finite element method with Lagrange multipliers for low-frequency harmonic Maxwell equations. SIAM J. Numer. Anal., 40, 1823-1849.
    • (2002) SIAM J. Numer. Anal , vol.40 , pp. 1823-1849
    • BERMÚDEZ, A.1    RODRÍGUEZ, R.2    SALGADO, P.3
  • 11
    • 0028514860 scopus 로고
    • Numerical modelling of superconductors in three dimensions: A model and a finite element method
    • BOSSAVIT, A. (1994) Numerical modelling of superconductors in three dimensions: a model and a finite element method. IEEE Trans. Magn., 30, 3363-3366.
    • (1994) IEEE Trans. Magn , vol.30 , pp. 3363-3366
    • BOSSAVIT, A.1
  • 12
    • 0000450488 scopus 로고    scopus 로고
    • Superconductors of finite thickness in a perpendicular magnetic field: Strips and slabs
    • BRANDT, E. H. (1996) Superconductors of finite thickness in a perpendicular magnetic field: strips and slabs. Phys. Rev. B, 54, 4246-4264.
    • (1996) Phys. Rev. B , vol.54 , pp. 4246-4264
    • BRANDT, E.H.1
  • 13
    • 0002239265 scopus 로고
    • Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations
    • E. Zarantonello ed, Madison, WI: Academic Press, pp
    • BREZIS, H. (1971) Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Contributions to Nonlinear Functional Analysis (E. Zarantonello ed.), Madison, WI: Academic Press, pp. 101-156.
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 101-156
    • BREZIS, H.1
  • 15
    • 0034486685 scopus 로고    scopus 로고
    • A hierarchy of models for type-II superconductors
    • CHAPMAN, S. J. (2000) A hierarchy of models for type-II superconductors. SIAM Rev., 42, 555-598.
    • (2000) SIAM Rev , vol.42 , pp. 555-598
    • CHAPMAN, S.J.1
  • 16
    • 0033485237 scopus 로고    scopus 로고
    • Analysis and computation of a mean-field model for superconductivity
    • DU, Q., GUNZBURGER, M. & LEE, H. K. (1999) Analysis and computation of a mean-field model for superconductivity. Numer. Math., 81, 539-560.
    • (1999) Numer. Math , vol.81 , pp. 539-560
    • DU, Q.1    GUNZBURGER, M.2    LEE, H.K.3
  • 17
    • 11444250400 scopus 로고    scopus 로고
    • A finite element approximation of a variational formulation of Bean's model for superconductivity
    • ELLIOTT, C. M., KAY, D. & STYLES, V. (2004) A finite element approximation of a variational formulation of Bean's model for superconductivity. SIAM J. Numer. Anal., 42, 1324-1341.
    • (2004) SIAM J. Numer. Anal , vol.42 , pp. 1324-1341
    • ELLIOTT, C.M.1    KAY, D.2    STYLES, V.3
  • 18
    • 11444270642 scopus 로고    scopus 로고
    • Finite element analysis of a current density - electric field formulation of Bean's model for superconductivity
    • ELLIOTT, C. M., KAY, D. & STYLES, V. (2005) Finite element analysis of a current density - electric field formulation of Bean's model for superconductivity. IMA J. Numer. Anal., 25, 182-204.
    • (2005) IMA J. Numer. Anal , vol.25 , pp. 182-204
    • ELLIOTT, C.M.1    KAY, D.2    STYLES, V.3
  • 21
    • 0000116089 scopus 로고
    • On a discrete compactness property for the Nédélec finite elements
    • KIKUCHI, F. (1989) On a discrete compactness property for the Nédélec finite elements. J. Fac. Sci. Univ. Tokyo Sect. IA Math., 36, 479-490.
    • (1989) J. Fac. Sci. Univ. Tokyo Sect. IA Math , vol.36 , pp. 479-490
    • KIKUCHI, F.1
  • 24
    • 34047160728 scopus 로고    scopus 로고
    • onlinear Maxwell Equations in 3D. University of Oxford, Oxford
    • PECHER, R. (2003) NablaX-Software for Solving Highly Nonlinear Maxwell Equations in 3D. University of Oxford, Oxford, http://kronl.eng.ox.ac. uk/~nablax/index.htm.
    • (2003) NablaX-Software for Solving Highly N
    • PECHER, R.1
  • 26
    • 0030488765 scopus 로고    scopus 로고
    • On the Bean critical-state model in superconductivity
    • PRIGOZHIN, L. (1996a) On the Bean critical-state model in superconductivity. Eur. J. Appl. Math., 7, 237-247.
    • (1996) Eur. J. Appl. Math , vol.7 , pp. 237-247
    • PRIGOZHIN, L.1
  • 27
    • 0030295529 scopus 로고    scopus 로고
    • The Bean model in superconductivity: Variational formulation and numerical solution
    • PRIGOZHIN, L. (1996b) The Bean model in superconductivity: variational formulation and numerical solution. J. Comput. Phys., 129, 190-200.
    • (1996) J. Comput. Phys , vol.129 , pp. 190-200
    • PRIGOZHIN, L.1
  • 28
    • 0031358611 scopus 로고    scopus 로고
    • Analysis of critical-state problems in type-II super conductivity
    • PRIGOZHIN, L. (1997) Analysis of critical-state problems in type-II super conductivity. IEEE Trans. Appl. Supercond., 7, 3866-3873.
    • (1997) IEEE Trans. Appl. Supercond , vol.7 , pp. 3866-3873
    • PRIGOZHIN, L.1
  • 29
    • 0001223295 scopus 로고    scopus 로고
    • Solution of thin film magnetization problems in type-II superconductivity
    • PRIGOZHIN, L. (1998) Solution of thin film magnetization problems in type-II superconductivity. J. Comput. Phys., 144, 180-193.
    • (1998) J. Comput. Phys , vol.144 , pp. 180-193
    • PRIGOZHIN, L.1
  • 30
    • 4644299464 scopus 로고    scopus 로고
    • Variational inequalities in critical-state problems
    • PRIGOZHIN, L. (2004) Variational inequalities in critical-state problems. Physica D, 197, 197-210.
    • (2004) Physica D , vol.197 , pp. 197-210
    • PRIGOZHIN, L.1
  • 31
    • 0027626763 scopus 로고
    • Magnetic properties and AC-losses of superconductors with power law current-voltage characteristics
    • RHYNER, J. (1993) Magnetic properties and AC-losses of superconductors with power law current-voltage characteristics. Physica C, 212, 292-300.
    • (1993) Physica C , vol.212 , pp. 292-300
    • RHYNER, J.1
  • 32
    • 0346386987 scopus 로고    scopus 로고
    • Macroscopic electrodynamic modelling of superconductors
    • RUBINACCI, G., TAMBURRINO, A., VENTRE, S. & VILLONE, F. (2000) Macroscopic electrodynamic modelling of superconductors. Cryogenics, 40, 671-676.
    • (2000) Cryogenics , vol.40 , pp. 671-676
    • RUBINACCI, G.1    TAMBURRINO, A.2    VENTRE, S.3    VILLONE, F.4
  • 33
    • 0034219653 scopus 로고    scopus 로고
    • Three dimensional finite elements modeling of superconductors
    • RUBINACCI, G., TAMBURRINO, A. & VILLONE, F. (2002) Three dimensional finite elements modeling of superconductors. IEEE Trans. Magn., 36, 1276-1279.
    • (2002) IEEE Trans. Magn , vol.36 , pp. 1276-1279
    • RUBINACCI, G.1    TAMBURRINO, A.2    VILLONE, F.3
  • 34
    • 27144549033 scopus 로고    scopus 로고
    • Design of Adaptive Finite Element Software, the Finite Element Toolbox ALBERTA
    • Berlin: Springer
    • SCHMIDT, A. & SIEBERT, K. G. (2005) Design of Adaptive Finite Element Software, the Finite Element Toolbox ALBERTA. Lecture Notes in Computational Science and Engineering, vol. 42. Berlin: Springer.
    • (2005) Lecture Notes in Computational Science and Engineering , vol.42
    • SCHMIDT, A.1    SIEBERT, K.G.2
  • 36
    • 0035282025 scopus 로고    scopus 로고
    • On a p-Laplacian type of evolution system and applications to the Bean model in the type-II superconductivity theory
    • YIN, H.-M. (2001) On a p-Laplacian type of evolution system and applications to the Bean model in the type-II superconductivity theory. Q. Appl. Math., 59, 47-66.
    • (2001) Q. Appl. Math , vol.59 , pp. 47-66
    • YIN, H.-M.1
  • 37
    • 0036014254 scopus 로고    scopus 로고
    • A degenerate evolution system modeling Bean's critical-state type-II superconductors
    • YIN, H.-M., LI, B. Q. & ZOU, J. (2002) A degenerate evolution system modeling Bean's critical-state type-II superconductors. Discrete Conti. Dyn. Syst., 8, 781-794.
    • (2002) Discrete Conti. Dyn. Syst , vol.8 , pp. 781-794
    • YIN, H.-M.1    LI, B.Q.2    ZOU, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.