메뉴 건너뛰기




Volumn 149, Issue 1-4, 1997, Pages 255-265

A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; OPTIMIZATION;

EID: 0031250556     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00054-6     Document Type: Article
Times cited : (35)

References (23)
  • 2
    • 0000859461 scopus 로고    scopus 로고
    • Enhanced cell-centered finite differences for elliptic equations on general geometry
    • to appear
    • T. Arbogast, C.N. Dawson, P.T. Keenan, M.F. Wheeler and I. Yotov, Enhanced cell-centered finite differences for elliptic equations on general geometry, SIAM J. Sci. Comput. 18 (1997), to appear.
    • (1997) SIAM J. Sci. Comput. , vol.18
    • Arbogast, T.1    Dawson, C.N.2    Keenan, P.T.3    Wheeler, M.F.4    Yotov, I.5
  • 3
    • 0001198473 scopus 로고    scopus 로고
    • Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences
    • T. Arbogast, M.F. Wheeler and I. Yotov, Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences, SIAM J. Numer. Anal. 34 (1997) 828-852.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 828-852
    • Arbogast, T.1    Wheeler, M.F.2    Yotov, I.3
  • 4
    • 0001804939 scopus 로고
    • Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates
    • D.N. Arnold and F. Brezzi, Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates, RAIRO Modèl, Math. Anal. Numèr. 19 (1985) 7-32.
    • (1985) RAIRO Modèl, Math. Anal. Numèr. , vol.19 , pp. 7-32
    • Arnold, D.N.1    Brezzi, F.2
  • 5
    • 0002336587 scopus 로고
    • A new nonconforming approach to domain decomposition: The mortar element method
    • H. Brezis and J.L. Lions, eds., Longman Scientific & Technical, UK
    • C. Bernardi, Y. Maday and A.T. Patera, A new nonconforming approach to domain decomposition: the mortar element method, in: H. Brezis and J.L. Lions, eds., Nonlinear Partial Differential Equations and Their Applications (Longman Scientific & Technical, UK, 1994).
    • (1994) Nonlinear Partial Differential Equations and Their Applications
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 6
    • 0003199785 scopus 로고
    • Mixed finite elements for second order elliptic problems in three variables
    • F. Brezzi, J. Douglas Jr., R. Duràn and M. Fortin, Mixed finite elements for second order elliptic problems in three variables, Numer. Math. 51 (1987) 237-250.
    • (1987) Numer. Math. , vol.51 , pp. 237-250
    • Brezzi, F.1    Douglas J., Jr.2    Duràn, R.3    Fortin, M.4
  • 8
    • 34250118577 scopus 로고
    • Two families of mixed elements for second order elliptic problems
    • F. Brezzi, J. Douglas Jr. and L.D. Marini, Two families of mixed elements for second order elliptic problems, Numer. Math. 88 (1985) 217-235.
    • (1985) Numer. Math. , vol.88 , pp. 217-235
    • Brezzi, F.1    Douglas J., Jr.2    Marini, L.D.3
  • 10
    • 51249179041 scopus 로고
    • Prismatic mixed finite elements for second order elliptic problems
    • Z. Chen and J. Douglas Jr., Prismatic mixed finite elements for second order elliptic problems, Calcolo 26 (1989) 135-148.
    • (1989) Calcolo , vol.26 , pp. 135-148
    • Chen, Z.1    Douglas J., Jr.2
  • 11
    • 84966242123 scopus 로고
    • Global estimates for mixed methods for second order elliptic equations
    • J. Douglas Jr. and J.E. Roberts, Global estimates for mixed methods for second order elliptic equations. Math. Comput. 44 (1985) 39-52.
    • (1985) Math. Comput. , vol.44 , pp. 39-52
    • Douglas J., Jr.1    Roberts, J.E.2
  • 12
    • 0041180232 scopus 로고
    • Superconvergence for rectangular mixed finite elements
    • R. Durán, Superconvergence for rectangular mixed finite elements, Numer. Math. 58 (1990) 287-298.
    • (1990) Numer. Math. , vol.58 , pp. 287-298
    • Durán, R.1
  • 14
    • 0026203036 scopus 로고
    • Superconvergence of the velocity along the Gauss lines in mixed finite element methods
    • R.E. Ewing, R.D. Lazarov and J. Wang, Superconvergence of the velocity along the Gauss lines in mixed finite element methods, SIAM J. Numer. Anal. 28 (1991) 1015-1029.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1015-1029
    • Ewing, R.E.1    Lazarov, R.D.2    Wang, J.3
  • 15
    • 21144467527 scopus 로고
    • Analysis of mixed finite element methods on locally refined grids
    • R.E. Ewing and J. Wang, Analysis of mixed finite element methods on locally refined grids, Numer. Math. 63 (1992) 183-194.
    • (1992) Numer. Math. , vol.63 , pp. 183-194
    • Ewing, R.E.1    Wang, J.2
  • 17
    • 0022335138 scopus 로고
    • Some superconvergence results for mixed finite element methods for elliptic problems on rectangular domains
    • J.R. Whiteman, ed., Academic Press, London
    • M. Nakata, A. Weiser and M.F. Wheeler, Some superconvergence results for mixed finite element methods for elliptic problems on rectangular domains, in: J.R. Whiteman, ed., The Mathematics of Finite Elements and Applications V (Academic Press, London, 1985, 367-389).
    • (1985) The Mathematics of Finite Elements and Applications V , pp. 367-389
    • Nakata, M.1    Weiser, A.2    Wheeler, M.F.3
  • 19
    • 0001175293 scopus 로고
    • A mixed finite element method for 2nd order elliptic problems
    • Mathematical Aspects of the Finite Element Method, Springer-Verlag, New York
    • R.A. Raviart and J.M. Thomas, A mixed finite element method for 2nd order elliptic problems, in: Mathematical Aspects of the Finite Element Method, Lecture Notes in Mathematics, Vol. 606 (Springer-Verlag, New York, 1977) 292-315.
    • (1977) Lecture Notes in Mathematics , vol.606 , pp. 292-315
    • Raviart, R.A.1    Thomas, J.M.2
  • 20
    • 70350630547 scopus 로고
    • Mixed and hybrid methods
    • P.G. Ciarlet and J. Lions, eds., Elsevier Science Publishers B.V.
    • J.E. Roberts and J.-M. Thomas, Mixed and hybrid methods, in: P.G. Ciarlet and J. Lions, eds., Handbook of Numerical Analysis, Vol. II (Elsevier Science Publishers B.V., 1991) 523-639.
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 523-639
    • Roberts, J.E.1    Thomas, J.-M.2
  • 22
    • 0001669414 scopus 로고
    • On convergence of block-centered finite-differences for elliptic problems
    • A. Weiser and M.F. Wheeler, On convergence of block-centered finite-differences for elliptic problems, SIAM J. Numer. Anal. 25 (1988) 351-375.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 351-375
    • Weiser, A.1    Wheeler, M.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.