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Volumn 45, Issue 2, 2001, Pages 213-240

Analysis of a variable time-step discretization for the Penrose-Fife phase relaxation problem

Author keywords

Convergence results; Error estimates; Penrose Fife model; Phase relaxation; Phase transitions; Time discretization

Indexed keywords

HEAT FLUX; INITIAL VALUE PROBLEMS; MATHEMATICAL MODELS; PHASE TRANSITIONS; PROBLEM SOLVING; RELAXATION PROCESSES; SET THEORY; THEOREM PROVING;

EID: 0035400699     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00339-9     Document Type: Article
Times cited : (3)

References (18)
  • 1
    • 0000223804 scopus 로고
    • Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert
    • Baiocchi C. Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert. Ann. Mat. Pura Appl. 76(4):1967;233-304.
    • (1967) Ann. Mat. Pura Appl. , vol.76 , Issue.4 , pp. 233-304
    • Baiocchi, C.1
  • 2
    • 0002252307 scopus 로고
    • Curvature dependent phase boundary motion and parabolic double obstacle problems
    • in: W.M. Ni, L.A. Peletier, J.L. Vazquez (Eds.), Springer, New York
    • J.F. Blowey, C.M. Elliott, Curvature dependent phase boundary motion and parabolic double obstacle problems, in: W.M. Ni, L.A. Peletier, J.L. Vazquez (Eds.), Degenerate Diffusion, Math. Appl., IMA-Vol. 47, Springer, New York, 1993, pp. 19-60.
    • (1993) Degenerate Diffusion, Math. Appl. , vol.47 , pp. 19-60
    • Blowey, J.F.1    Elliott, C.M.2
  • 3
    • 0002482093 scopus 로고
    • A phase-field model with a double obstacle potential
    • in: G. Buttazzo, A. Visintin (Eds.), De Gruyter, New York
    • J.F. Blowey, C.M. Elliott, A phase-field model with a double obstacle potential, in: G. Buttazzo, A. Visintin (Eds.), Motion by Mean Curvature and Related Topics, De Gruyter, New York, 1994, pp. 1-22.
    • (1994) Motion by Mean Curvature and Related Topics , pp. 1-22
    • Blowey, J.F.1    Elliott, C.M.2
  • 4
    • 0003282411 scopus 로고
    • Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
    • North-Holland, Amsterdam
    • H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, Math. Studies, Vol. 5, North-Holland, Amsterdam, 1973.
    • (1973) Math. Studies , vol.5
    • Brézis, H.1
  • 5
    • 0003353189 scopus 로고    scopus 로고
    • Hysteresis and Phase Transitions
    • Springer, Berlin
    • M. Brokate, J. Sprekels, Hysteresis and Phase Transitions, Appl. Math. Sci., Vol. 121, Springer, Berlin, 1996.
    • (1996) Appl. Math. Sci. , vol.121
    • Brokate, M.1    Sprekels, J.2
  • 6
    • 34250131162 scopus 로고
    • An analysis of a phase field model of a free boundary
    • Caginalp G. An analysis of a phase field model of a free boundary. Arch. Rat. Mech. Anal. 92:1986;205-245.
    • (1986) Arch. Rat. Mech. Anal. , vol.92 , pp. 205-245
    • Caginalp, G.1
  • 7
    • 0007220134 scopus 로고
    • A nonlinear evolution problem describing multicomponent phase changes with dissipation
    • Colli P., Hoffmann K.H. A nonlinear evolution problem describing multicomponent phase changes with dissipation. Numer. Funct. Anal. Optim. 14:1993;275-297.
    • (1993) Numer. Funct. Anal. Optim. , vol.14 , pp. 275-297
    • Colli, P.1    Hoffmann, K.H.2
  • 8
    • 0013154384 scopus 로고    scopus 로고
    • Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law
    • Colli P., Sprekels J. Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law. Adv. Math. Sci. Appl. 9(1):1999;383-391.
    • (1999) Adv. Math. Sci. Appl. , vol.9 , Issue.1 , pp. 383-391
    • Colli, P.1    Sprekels, J.2
  • 10
    • 0009546423 scopus 로고
    • Approximation of Nonlinear Evolution Systems
    • Academic Press, Orlando
    • J.W. Jerome, Approximation of Nonlinear Evolution Systems, Math. Sci. Engrg., Vol. 104, Academic Press, Orlando, 1983.
    • (1983) Math. Sci. Engrg. , vol.104
    • Jerome, J.W.1
  • 15
    • 45149136070 scopus 로고
    • Thermodynamically consistent models of phase field type for the kinetics of phase transition
    • Penrose O., Fife P.C. Thermodynamically consistent models of phase field type for the kinetics of phase transition. Physica D. 43:1990;44-62.
    • (1990) Physica D , vol.43 , pp. 44-62
    • Penrose, O.1    Fife, P.C.2
  • 16
    • 0000358571 scopus 로고
    • On the relation between the standard phase-field model and a "thermodynamically consistent" phase-field model
    • Penrose O., Fife P.C. On the relation between the standard phase-field model and a "thermodynamically consistent" phase-field model. Physica D. 69:1993;107-113.
    • (1993) Physica D , vol.69 , pp. 107-113
    • Penrose, O.1    Fife, P.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.