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Volumn 38, Issue 4, 2004, Pages 633-652

Finite element approximation of a Stefan problem with degenerate Joule heating

Author keywords

Convergence; Degenerate system; Finite elements; Joule heating; Stefan problem

Indexed keywords


EID: 4444366665     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2004030     Document Type: Article
Times cited : (6)

References (10)
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    • K.W. Morton and M.J. Baines Eds., Academic Press (London)
    • J.W. Barrett and C.M. Elliott, A finite element method on a fixed mesh for the Stefan problem with convection in a saturated porous medium, in Numerical Methods for Fluid Dynamics, K.W. Morton and M.J. Baines Eds., Academic Press (London) (1982) 389-409.
    • (1982) Numerical Methods for Fluid Dynamics , pp. 389-409
    • Barrett, J.W.1    Elliott, C.M.2
  • 2
    • 4043077884 scopus 로고    scopus 로고
    • Convergence of a finite element approximation of surfactant spreading on a thin film in the presence of van der Waals forces
    • J.W. Barrett and R. Nürnberg, Convergence of a finite element approximation of surfactant spreading on a thin film in the presence of van der Waals forces. IMA J. Numer. Anal. 24 (2004) 323-363.
    • (2004) IMA J. Numer. Anal. , vol.24 , pp. 323-363
    • Barrett, J.W.1    Nürnberg, R.2
  • 3
    • 0019386979 scopus 로고
    • On the finite element approximation of an elliptic variational inequality arising from an implicit time discretization of the Stefan problem
    • C.M. Elliott, On the finite element approximation of an elliptic variational inequality arising from an implicit time discretization of the Stefan problem. IMA J. Numer. Anal. 1 (1981) 115-125.
    • (1981) IMA J. Numer. Anal. , vol.1 , pp. 115-125
    • Elliott, C.M.1
  • 4
    • 0002488573 scopus 로고
    • Error analysis of the enthalpy method for the Stefan problem
    • C.M. Elliott, Error analysis of the enthalpy method for the Stefan problem. IMA J. Numer. Anal. 7 (1987) 61-71.
    • (1987) IMA J. Numer. Anal. , vol.7 , pp. 61-71
    • Elliott, C.M.1
  • 5
    • 84968468858 scopus 로고
    • A finite element model for the time-dependent Joule heating problem
    • C.M. Elliott and S. Larsson, A finite element model for the time-dependent Joule heating problem. Math. Comp. 64 (1995) 1433-1453.
    • (1995) Math. Comp. , vol.64 , pp. 1433-1453
    • Elliott, C.M.1    Larsson, S.2
  • 6
    • 0542376097 scopus 로고    scopus 로고
    • Existence of generalized weak solutions to a model for in situ vitrification
    • R.F. Gariepy, M. Shillor and X. Xu, Existence of generalized weak solutions to a model for in situ vitrification. European J. Appl. Math. 9 (1998) 543-559.
    • (1998) European J. Appl. Math. , vol.9 , pp. 543-559
    • Gariepy, R.F.1    Shillor, M.2    Xu, X.3
  • 7
    • 0010849443 scopus 로고
    • Modeling of the in situ vitrification process
    • S.S. Koegler and C.H. Kindle, Modeling of the in situ vitrification process. Amer. Ceram. Soc. Bull. 70 (1991) 832-835.
    • (1991) Amer. Ceram. Soc. Bull. , vol.70 , pp. 832-835
    • Koegler, S.S.1    Kindle, C.H.2
  • 9
    • 0000098995 scopus 로고    scopus 로고
    • A compactness theorem and its application to a system of partial differential equations
    • X. Xu, A compactness theorem and its application to a system of partial differential equations. Differential Integral Equations 9 (1996) 119-136.
    • (1996) Differential Integral Equations , vol.9 , pp. 119-136
    • Xu, X.1
  • 10
    • 0037101526 scopus 로고    scopus 로고
    • Existence for a model arising from the in situ vitrification process
    • X. Xu, Existence for a model arising from the in situ vitrification process. J. Math. Anal. Appl. 271 (2002) 333-342.
    • (2002) J. Math. Anal. Appl. , vol.271 , pp. 333-342
    • Xu, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.