메뉴 건너뛰기




Volumn 2, Issue , 2006, Pages

A dual mesh method for a non-local thermistor problem

Author keywords

Box scheme method; Joule heating; Non local thermistor problem

Indexed keywords


EID: 84889234617     PISSN: None     EISSN: 18150659     Source Type: Journal    
DOI: 10.3842/SIGMA.2006.058     Document Type: Article
Times cited : (4)

References (18)
  • 1
    • 0042068855 scopus 로고    scopus 로고
    • A box scheme for coupled systems resulting from microsensor thermistorproblems
    • Allegretto W., Lin Y., Zhou A., A box scheme for coupled systems resulting from microsensor thermistorproblems, Dynam. Contin. Discrete Impuls. Systems, 1999, V.5, N 1-4, 209-223.
    • (1999) Dynam. Contin. Discrete Impuls. Systems , vol.5 , Issue.1-4 , pp. 209-223
    • Allegretto, W.1    Lin, Y.2    Zhou, A.3
  • 2
    • 0042046204 scopus 로고
    • The thermistor problem: Existence, smoothness uniqueness, blowup
    • Antontsev S.N., Chipot M., The thermistor problem: existence, smoothness uniqueness, blowup, SIAM J. Math. Anal., 1994, V.25, N 4, 1128-1156.
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.4 , pp. 1128-1156
    • Antontsev, S.N.1    Chipot, M.2
  • 3
    • 0001063435 scopus 로고
    • On the finite volume element method
    • Cai Z.Q., On the finite volume element method, Numer. Math., 1991, V.58, N 7, 713-735.
    • (1991) Numer. Math. , vol.58 , Issue.7 , pp. 713-735
    • Cai, Z.Q.1
  • 5
    • 4444381362 scopus 로고    scopus 로고
    • Error estimates for a finite volume element method forparabolic equations in convex polygonal domains
    • Chatzipantelidis P., Lazarov R.D., Thomée V., Error estimates for a finite volume element method forparabolic equations in convex polygonal domains, Numer. Methods Partial Differential Equations, 2004, V.20, Issue 5, 650-674.
    • (2004) Numer. Methods Partial Differential Equations , vol.20 , Issue.5 , pp. 650-674
    • Chatzipantelidis, P.1    Lazarov, R.D.2    Thomée, V.3
  • 6
    • 85006785402 scopus 로고    scopus 로고
    • On the stability of the solution of the thermistor problem
    • Cimatti G., On the stability of the solution of the thermistor problem, Appl. Anal., 1999, V.73, N 3-4, 407-423.
    • (1999) Appl. Anal. , vol.73 , Issue.3-4 , pp. 407-423
    • Cimatti, G.1
  • 7
    • 14744306903 scopus 로고    scopus 로고
    • Stability and multiplicity of solutions for the thermistor problem
    • Cimatti G., Stability and multiplicity of solutions for the thermistor problem, Ann. Mat. Pura Appl. (4), 2002, V.181, N 2, 181-212.
    • (2002) Ann. Mat. Pura Appl. (4) , vol.181 , Issue.2 , pp. 181-212
    • Cimatti, G.1
  • 8
    • 27744501960 scopus 로고    scopus 로고
    • Existence of weak solutions for the thermistor problem with degeneracy, in Proceedings of the 2002 Fez Conference on Partial Differential Equations
    • El Hachimi A., Sidi Ammi M.R., Existence of weak solutions for the thermistor problem with degeneracy, in Proceedings of the 2002 Fez Conference on Partial Differential Equations, Electron. J. Differ. Equ. Conf., 2002, V.9, 127-137.
    • (2002) Electron. J. Differ. Equ. Conf. , vol.9 , pp. 127-137
    • El Hachimi, A.1    Sidi Ammi, M.R.2
  • 9
    • 36849080576 scopus 로고    scopus 로고
    • Thermistor problem: A nonlocal parabolic problem, in Proceedings of the2004-Fez Conference on Differential Equations and Mechanics
    • El Hachimi A., Sidi Ammi M.R., Thermistor problem: a nonlocal parabolic problem, in Proceedings of the2004-Fez Conference on Differential Equations and Mechanics, Electron. J. Differ. Equ. Conf., 2004, V.11, 117-128.
    • (2004) Electron. J. Differ. Equ. Conf. , vol.11 , pp. 117-128
    • El Hachimi, A.1    Sidi Ammi, M.R.2
  • 11
    • 27744577246 scopus 로고    scopus 로고
    • Semi-discretization for a non local parabolic problem
    • El Hachimi A., Sidi Ammi M.R., Semi-discretization for a non local parabolic problem, Int. J. Math. Math. Sci., 2005, N 10, 1655-1664.
    • (2005) Int. J. Math. Math. Sci. , Issue.10 , pp. 1655-1664
    • El Hachimi, A.1    Sidi Ammi, M.R.2
  • 12
    • 84968468858 scopus 로고
    • A finite element model for the time-dependent Joule heating problem
    • Elliott C.M., Larsson S., A finite element model for the time-dependent Joule heating problem, Math. Comp., 1995, V.64, N 212, 1433-1453.
    • (1995) Math. Comp. , vol.64 , Issue.212 , pp. 1433-1453
    • Elliott, C.M.1    Larsson, S.2
  • 13
    • 84974514475 scopus 로고
    • Thermal runaway in a non-local problem modelling Ohmic heating. I. Model derivation andsome special cases
    • Lacey A.A., Thermal runaway in a non-local problem modelling Ohmic heating. I. Model derivation andsome special cases, European J. Appl. Math., 1995, V.6, N 2, 127-144.
    • (1995) European J. Appl. Math. , vol.6 , Issue.2 , pp. 127-144
    • Lacey, A.A.1
  • 14
    • 84974253148 scopus 로고
    • Thermal runaway in a non-local problem modelling Ohmic heating. II. General proof of blow-upand asymptotics of runaway
    • Lacey A.A., Thermal runaway in a non-local problem modelling Ohmic heating. II. General proof of blow-upand asymptotics of runaway, European J. Appl. Math., 1995, V.6, N 3, 201-224.
    • (1995) European J. Appl. Math. , vol.6 , Issue.3 , pp. 201-224
    • Lacey, A.A.1
  • 15
    • 52449120724 scopus 로고    scopus 로고
    • Blow-up of radially symmetric solutions of a non-local problem modelling Ohmic heating
    • Tzanetis D.E., Blow-up of radially symmetric solutions of a non-local problem modelling Ohmic heating, Electron. J. Differential Equations, 2002, N 11, 26 pages.
    • (2002) Electron. J. Differential Equations , Issue.11 , pp. 26
    • Tzanetis, D.E.1
  • 16
    • 0030451418 scopus 로고    scopus 로고
    • Local and global existence of continuous temperature in the electrical heating of conductors
    • Xu X., Local and global existence of continuous temperature in the electrical heating of conductors, Houston J. Math., 1996, V.22, N 2, 435-455.
    • (1996) Houston J. Math. , vol.22 , Issue.2 , pp. 435-455
    • Xu, X.1
  • 17
    • 0007031201 scopus 로고
    • Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor dueto the Joule-Thomson effect
    • Xu X., Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor dueto the Joule-Thomson effect, Int. J. Math. Math. Sci., 1993, V.16, N 1, 125-138.
    • (1993) Int. J. Math. Math. Sci. , vol.16 , Issue.1 , pp. 125-138
    • Xu, X.1
  • 18
    • 79251636392 scopus 로고    scopus 로고
    • Numerical analysis of nonstationary thermistor problem
    • Yue X.Y., Numerical analysis of nonstationary thermistor problem, J. Comput. Math., 2004, V.12, N 3, 213-223.
    • (2004) J. Comput. Math. , vol.12 , Issue.3 , pp. 213-223
    • Yue, X.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.