메뉴 건너뛰기




Volumn 34, Issue 4, 2000, Pages 775-797

Error control and adaptivity for a phase relaxation model

Author keywords

A posteriori estimates; Adaptivity; Diffuse interface; Finite elements; Phase relaxation; Subdifferential operator

Indexed keywords


EID: 0034416270     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2000103     Document Type: Article
Times cited : (13)

References (19)
  • 1
    • 0034383447 scopus 로고    scopus 로고
    • Residual type a posteriori error estimates for elliptic obstacle problems
    • Z. Chen and R.H. Nochetto, Residual type a posteriori error estimates for elliptic obstacle problems. Numer. Math. 84 (2000) 527-548.
    • (2000) Numer. Math. , vol.84 , pp. 527-548
    • Chen, Z.1    Nochetto, R.H.2
  • 4
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularization
    • Ph. Clément, Approximation by finite element functions using local regularization. RAIRO Anal. Numér. 9 (1975) 77-84.
    • (1975) RAIRO Anal. Numér. , vol.9 , pp. 77-84
    • Clément, Ph.1
  • 5
    • 0026106415 scopus 로고
    • Adaptive finite element methods for parabolic problems. I. A linear model problem
    • K. Eriksson and C. Johnson, Adaptive finite element methods for parabolic problems. I. A linear model problem. SIAM J. Numer. Anal. 28 (1991) 43-77.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 43-77
    • Eriksson, K.1    Johnson, C.2
  • 6
    • 84904150653 scopus 로고
    • Adaptive finite element methods for parabolic problems. IV. Nonlinear problems
    • K. Eriksson and C. Johnson, Adaptive finite element methods for parabolic problems. IV. Nonlinear problems. SIAM J. Numer. Anal. 32 (1995) 1729-1749.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1729-1749
    • Eriksson, K.1    Johnson, C.2
  • 7
    • 0001648207 scopus 로고    scopus 로고
    • Adaptive finite element methods for parabolic problems. VI. Analytic semigroups
    • K. Eriksson, C. Johnson and S. Larsson, Adaptive finite element methods for parabolic problems. VI. Analytic semigroups. SIAM J. Numer. Anal. 35 (1998) 1315-1325.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1315-1325
    • Eriksson, K.1    Johnson, C.2    Larsson, S.3
  • 9
    • 0040360888 scopus 로고    scopus 로고
    • Optimal error estimates for semidiscrete phase relaxation models
    • X. Jiang and R.H. Nochetto, Optimal error estimates for semidiscrete phase relaxation models. RAIRO Model. Math. Anal. Numér. 31 (1997) 91-120.
    • (1997) RAIRO Model. Math. Anal. Numér. , vol.31 , pp. 91-120
    • Jiang, X.1    Nochetto, R.H.2
  • 10
    • 0039706872 scopus 로고    scopus 로고
    • 1 finite element method for a phase relaxation model. I. Quasi uniform mesh
    • 1 finite element method for a phase relaxation model. I. Quasi uniform mesh. SIAM J. Numer. Anal. 35 (1998) 1176-1190.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1176-1190
    • Jiang, X.1    Nochetto, R.H.2
  • 11
    • 0003344020 scopus 로고    scopus 로고
    • 1 finite element method for a phase relaxation model. II. Adaptively refined meshes
    • 1 finite element method for a phase relaxation model. II. Adaptively refined meshes. SIAM J. Numér. Anal 36 (1999) 974-999.
    • (1999) SIAM J. Numér. Anal , vol.36 , pp. 974-999
    • Jiang, X.1    Nochetto, R.H.2    Verdi, C.3
  • 12
    • 84974315674 scopus 로고
    • Continuous and semidiscrete traveling waves for a phase relaxation model
    • R.H. Nochetto, M. Paolini and C. Verdi, Continuous and semidiscrete traveling waves for a phase relaxation model. European J. Appl. Math. 5 (1994) 177-199.
    • (1994) European J. Appl. Math. , vol.5 , pp. 177-199
    • Nochetto, R.H.1    Paolini, M.2    Verdi, C.3
  • 14
    • 0034373609 scopus 로고    scopus 로고
    • A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
    • R.H. Nochetto, G. Savaré and C. Verdi, A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations. Comm. Pure Appl. Math. 53 (2000) 529-589.
    • (2000) Comm. Pure Appl. Math. , vol.53 , pp. 529-589
    • Nochetto, R.H.1    Savaré, G.2    Verdi, C.3
  • 15
    • 0034424235 scopus 로고    scopus 로고
    • A posteriori error estimation and adaptivity for degenerate parabolic problems
    • R.H. Nochetto, A. Schmidt and C. Verdi, A posteriori error estimation and adaptivity for degenerate parabolic problems. Math. Comp. 69 (2000) 1-24.
    • (2000) Math. Comp. , vol.69 , pp. 1-24
    • Nochetto, R.H.1    Schmidt, A.2    Verdi, C.3
  • 16
    • 0041139652 scopus 로고
    • Numerical analysis of the multidimensional Stefan problem with supercooling and superheating
    • C. Verdi and A. Visintin, Numerical analysis of the multidimensional Stefan problem with supercooling and superheating. Boll. Un. Mat. Ital. B 7 (1987) 795-814.
    • (1987) Boll. Un. Mat. Ital. B , vol.7 , pp. 795-814
    • Verdi, C.1    Visintin, A.2
  • 17
    • 0002361341 scopus 로고
    • Error estimates for a semi-explicit numerical scheme for Stefan-type problems
    • C. Verdi and A. Visintin, Error estimates for a semi-explicit numerical scheme for Stefan-type problems. Numer. Math 52 (1988) 165-185.
    • (1988) Numer. Math , vol.52 , pp. 165-185
    • Verdi, C.1    Visintin, A.2
  • 18
    • 0001123368 scopus 로고
    • Stefan problem with phase relaxation
    • A. Visintin, Stefan problem with phase relaxation. IMA J. Appl. Math. 34 (1985) 225-245.
    • (1985) IMA J. Appl. Math. , vol.34 , pp. 225-245
    • Visintin, A.1
  • 19
    • 0002360354 scopus 로고
    • Supercooling and superheating effects in phase transitions
    • A. Visintin, Supercooling and superheating effects in phase transitions. IMA J. Appl. Math. 35 (1986) 233-256.
    • (1986) IMA J. Appl. Math. , vol.35 , pp. 233-256
    • Visintin, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.