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Volumn 42, Issue 3, 2004, Pages 1324-1341

A finite element approximation of a variational inequality formulation of bean's model for superconductivity

Author keywords

Finite elements; Superconductors; Variational inequalities

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CURRENT DENSITY; LAPLACE TRANSFORMS; MAGNETIC FIELDS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; SUPERCONDUCTING MATERIALS; SUPERCONDUCTIVITY; VARIATIONAL TECHNIQUES;

EID: 11444250400     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142902412324     Document Type: Article
Times cited : (13)

References (12)
  • 1
    • 84972038069 scopus 로고
    • The Cahn-Hilliard gradient theory for phase separation with nonsmooth free energy Part II: Numerical analysis
    • J. F. BLOWEY AND C. M. ELLIOTT, The Cahn-Hilliard gradient theory for phase separation with nonsmooth free energy Part II: Numerical analysis, European J. Appl. Math., 3 (1992), pp. 147-179.
    • (1992) European J. Appl. Math. , vol.3 , pp. 147-179
    • Blowey, J.F.1    Elliott, C.M.2
  • 2
    • 0032669422 scopus 로고    scopus 로고
    • Computer modelling of type II superconductors in applications
    • G. BARNES, M. MCCULLOCH, AND D. DEW-HUGHES, Computer modelling of type II superconductors in applications, Supercond. Sci. Technol., 12 (1999), pp. 518-522.
    • (1999) Supercond. Sci. Technol. , vol.12 , pp. 518-522
    • Barnes, G.1    Mcculloch, M.2    Dew-Hughes, D.3
  • 3
    • 0033889253 scopus 로고    scopus 로고
    • Finite difference modelling of bulk high temperature superconducting cylindrical hysteresis machines
    • G. BARNES, M. MCCULLOCH, AND D. DEW-HUGHES, Finite difference modelling of bulk high temperature superconducting cylindrical hysteresis machines, Supercond. Sci. Technol., 13 (2000), pp. 229-236.
    • (2000) Supercond. Sci. Technol. , vol.13 , pp. 229-236
    • Barnes, G.1    Mcculloch, M.2    Dew-Hughes, D.3
  • 4
    • 0029393189 scopus 로고
    • A mean-field model of superconducting vortices in three dimensions
    • S. J. CHAPMAN, A mean-field model of superconducting vortices in three dimensions, SIAM J. Appl. Math., 55 (1995), pp. 1259-1274.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 1259-1274
    • Chapman, S.J.1
  • 6
    • 0000637294 scopus 로고
    • Approximation of infinite boundary condition and its application to finite element methods
    • H. HAN AND X. Wu, Approximation of infinite boundary condition and its application to finite element methods, J. Comput. Math., 3 (1985), pp. 179-192.
    • (1985) J. Comput. Math. , vol.3 , pp. 179-192
    • Han, H.1    Wu, X.2
  • 7
    • 0000345334 scopus 로고
    • Splitting algorithms for the sum of two nonlinear operators
    • P. L. LIONS AND B. MERCIER, Splitting algorithms for the sum of two nonlinear operators, SIAM J. Numer. Anal., 16 (1979), pp. 964-979.
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 964-979
    • Lions, P.L.1    Mercier, B.2
  • 8
    • 0034373609 scopus 로고    scopus 로고
    • A posteriori error estimates for variable timestep discretizations of nonlinear evolution equations
    • R. H. NOCHETTO, G. SAVARÉ, AND C. VERDI, A posteriori error estimates for variable timestep discretizations of nonlinear evolution equations, Comm. Pure Appl. Math., 53 (2000), pp. 525-589.
    • (2000) Comm. Pure Appl. Math. , vol.53 , pp. 525-589
    • Nochetto, R.H.1    Savaré, G.2    Verdi, C.3
  • 9
    • 0031358611 scopus 로고    scopus 로고
    • Analysis of critical state problems in type-II superconductivity
    • L. PRIGOZHIN, Analysis of critical state problems in type-II superconductivity, IEEE Trans. on Appl. Supercond., 7 (1997), pp. 3866-3873.
    • (1997) IEEE Trans. on Appl. Supercond. , vol.7 , pp. 3866-3873
    • Prigozhin, L.1
  • 10
    • 0030488765 scopus 로고    scopus 로고
    • On the Bean critical state model in superconductivity
    • L. PRIGOZHIN, On the Bean critical state model in superconductivity, European J. Appl. Math., 7 (1996), pp. 237-247.
    • (1996) European J. Appl. Math. , vol.7 , pp. 237-247
    • Prigozhin, L.1
  • 11
    • 0030295529 scopus 로고    scopus 로고
    • The Bean model in superconductivity: Variational formulation and numerical solution
    • L. PRIGOZHIN, The Bean model in superconductivity: Variational formulation and numerical solution, J. Comput. Phys., 129 (1996), pp. 190-200.
    • (1996) J. Comput. Phys. , vol.129 , pp. 190-200
    • Prigozhin, L.1
  • 12
    • 0000048673 scopus 로고
    • A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. SAAD AND M. H. SCHULTZ, A generalized minimal residual algorithm for solving nonsymmetric linear systems, J. Sci. Statist. Comput., 7 (1986), pp. 856-869.
    • (1986) J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.