메뉴 건너뛰기




Volumn 39, Issue 6, 2002, Pages 1938-1953

Suboptimal and optimal convergence in mixed finite element methods

Author keywords

Mixed finite element methods; Optimal convergence; Suboptimal convergence

Indexed keywords


EID: 0036556511     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142900376900     Document Type: Article
Times cited : (25)

References (14)
  • 1
    • 0003075032 scopus 로고    scopus 로고
    • The maximum angle condition for mixed and nonconforming elements: Application to the Stokes equation
    • G. ACOSTA AND R. G. DURÁN, The maximum angle condition for mixed and nonconforming elements: Application to the Stokes equation, SIAM J. Numer. Anal., 37 (1999), pp. 18-36.
    • (1999) SIAM J. Numer. Anal. , vol.37 , pp. 18-36
    • Acosta, G.1    Durán, R.G.2
  • 2
    • 34250118577 scopus 로고
    • Two families of mixed finite elements for second order elliptic problems
    • F. BREZZI, J. DOUGLAS, JR., AND L. MARINI, Two families of mixed finite elements for second order elliptic problems, Numer. Math., 47 (1985), pp. 217-235.
    • (1985) Numer. Math. , vol.47 , pp. 217-235
    • Brezzi, F.1    Douglas J., Jr.2    Marini, L.3
  • 4
    • 0001167127 scopus 로고
    • BDM mixed methods for a nonlinear elliptic problem
    • Z. CHEN, BDM mixed methods for a nonlinear elliptic problem, J. Comput. Appl. Math., 53 (1994), pp. 207-223.
    • (1994) J. Comput. Appl. Math. , vol.53 , pp. 207-223
    • Chen, Z.1
  • 5
    • 0039992460 scopus 로고    scopus 로고
    • Expanded mixed finite element methods for linear second-order elliptic problems I
    • Z. CHEN, Expanded mixed finite element methods for linear second-order elliptic problems I, RAIRO Modél. Math. Anal. Numér., 32 (1998), pp. 479-499.
    • (1998) RAIRO Modél. Math. Anal. Numér. , vol.32 , pp. 479-499
    • Chen, Z.1
  • 6
    • 0032369306 scopus 로고    scopus 로고
    • Expanded mixed finite element methods for quasilinear second-order elliptic problems II
    • Z. CHEN, Expanded mixed finite element methods for quasilinear second-order elliptic problems II, RAIRO Modél. Math. Anal. Numér., 32 (1998), pp. 501-520.
    • (1998) RAIRO Modél. Math. Anal. Numér. , vol.32 , pp. 501-520
    • Chen, Z.1
  • 7
    • 0004582161 scopus 로고
    • Mixed finite element methods for second order elliptic problems
    • J. DOUGLAS, JR. AND J. E. ROBERTS, Mixed finite element methods for second order elliptic problems, Mat. Apl. Comput., 1 (1982), pp. 91-103.
    • (1982) Mat. Apl. Comput. , vol.1 , pp. 91-103
    • Douglas J., Jr.1    Roberts, J.E.2
  • 8
    • 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. Comp., 44 (1985), pp. 39-52.
    • (1985) Math. Comp. , vol.44 , pp. 39-52
    • Douglas J., Jr.1    Roberts, J.E.2
  • 9
    • 0007013979 scopus 로고
    • p, 1 ≤ p ≤ ∞, for mixed finite element methods for linear and quasi-linear elliptic problems
    • p, 1 ≤ p ≤ ∞, for mixed finite element methods for linear and quasi-linear elliptic problems, RAIRO Modél Math. Anal. Numér., 22 (1988), pp. 371-387.
    • (1988) RAIRO Modél Math. Anal. Numér. , vol.22 , pp. 371-387
    • Durán, R.G.1
  • 10
    • 0001103820 scopus 로고
    • Error estimates for mixed methods
    • R. FALK AND J. OSBORN, Error estimates for mixed methods, RAIRO Anal. Numér., 14 (1980), pp. 249-277.
    • (1980) RAIRO Anal. Numér. , vol.14 , pp. 249-277
    • Falk, R.1    Osborn, J.2
  • 11
    • 0345787246 scopus 로고
    • ∞-accuracy of mixed finite element methods for second order elliptic problems
    • ∞-accuracy of mixed finite element methods for second order elliptic problems, Mat. Apl. Comput., 7 (1988), pp. 13-39.
    • (1988) Mat. Apl. Comput. , vol.7 , pp. 13-39
    • Gastaldi, L.1    Nochetto, R.H.2
  • 13
    • 84966217446 scopus 로고
    • An observation concerning Ritz-Galerkin methods with indefinite bilinear forms
    • A. H. SCHATZ, An observation concerning Ritz-Galerkin methods with indefinite bilinear forms. Math. Comp., 28 (1974), pp. 959-962.
    • (1974) Math. Comp. , vol.28 , pp. 959-962
    • Schatz, A.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.