메뉴 건너뛰기




Volumn 91, Issue 2, 2002, Pages 351-387

Nonconforming finite elements and the cascadic multi-grid method

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036013085     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110100344     Document Type: Article
Times cited : (22)

References (16)
  • 1
    • 0001804939 scopus 로고
    • Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates
    • [AB85]
    • 2AN 19, 7-32 (1985)
    • (1985) 2AN , vol.19 , pp. 7-32
    • Arnold, D.N.1    Brezzi, F.2
  • 2
    • 0030369254 scopus 로고    scopus 로고
    • The cascadic multigrid method for elliptic problems
    • [BD96]
    • [BD96] F.A. Bornemann, P. Deuflhard: The cascadic multigrid method for elliptic problems. Numer. Math. 75, 135-152 (1996)
    • (1996) Numer. Math. , vol.75 , pp. 135-152
    • Bornemann, F.A.1    Deuflhard, P.2
  • 3
    • 0033435379 scopus 로고    scopus 로고
    • A cascadic multigrid algorithm for the Stokes equations
    • [BD99]
    • [BD99] D. Braess, W. Dahmen: A cascadic multigrid algorithm for the Stokes equations. Numer. Math. 82, 179-191 (1999)
    • (1999) Numer. Math. , vol.82 , pp. 179-191
    • Braess, D.1    Dahmen, W.2
  • 4
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • [Bre74]
    • [Bre74] F. Brezzi: On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. RAIRO Anal. Numér. 8, 129-151 (1974)
    • (1974) RAIRO Anal. Numér. , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 5
    • 84966243320 scopus 로고
    • A nonconforming multigrid method for the stationary Stokes equations
    • [Bre90]
    • [Bre90] S.C. Brenner: A nonconforming multigrid method for the stationary Stokes equations. Math. Comp. 55(192), 411-437 (1990)
    • (1990) Math. Comp. , vol.55 , Issue.192 , pp. 411-437
    • Brenner, S.C.1
  • 6
    • 0033475783 scopus 로고    scopus 로고
    • Convergence of nonconforming multigrid methods without full elliptic regularity
    • [Bre99]
    • [Bre99] S.C. Brenner: Convergence of nonconforming multigrid methods without full elliptic regularity. Math. Comp. 68(225), 25-53 (1999)
    • (1999) Math. Comp. , vol.68 , Issue.225 , pp. 25-53
    • Brenner, S.C.1
  • 8
    • 8544220284 scopus 로고
    • Basic error estimates for elliptic problems
    • [Cia91]. In P.G. Ciarlet, J.P.Lions, editors, Amsterdam North-Holland
    • [Cia91] P.O. Ciarlet: Basic error estimates for elliptic problems. In P.G. Ciarlet, J.P.Lions, editors, Finite Element Methods (Part 1), volume II of Handbook of Numerical Analysis, pp. 17-352. Amsterdam North-Holland, 1991
    • (1991) Finite Element Methods (Part 1), Volume II of Handbook of Numerical Analysis , vol.2 , pp. 17-352
    • Ciarlet, P.O.1
  • 9
    • 0015762231 scopus 로고
    • Conforming and nonconforming finite element methods for solving the stationary Stokes equations
    • [CR73]
    • [CR73] M. Crouzeix, P. A. Raviart: Conforming and nonconforming finite element methods for solving the stationary Stokes equations. RAIRO Anal. Numér. 3, 33-76 (1973)
    • (1973) RAIRO Anal. Numér. , vol.3 , pp. 33-76
    • Crouzeix, M.1    Raviart, P.A.2
  • 10
    • 0001521230 scopus 로고
    • Equivalence of finite element methods for problems in elasticity
    • [FM90]
    • [FM90] R.S. Falk, M.E. Morley: Equivalence of finite element methods for problems in elasticity. SIAM J. Numer. Anal. 27(6), 1486-1505 (1990)
    • (1990) SIAM J. Numer. Anal. , vol.27 , Issue.6 , pp. 1486-1505
    • Falk, R.S.1    Morley, M.E.2
  • 13
    • 0000971621 scopus 로고
    • A conjugate gradient method and a multigrid algorithm for Morley's finite element approximation of the biharmonic equation
    • [PB87]
    • [PB87] P Peisker, D. Braess: A conjugate gradient method and a multigrid algorithm for Morley's finite element approximation of the biharmonic equation. Numer. Math. 50, 567-586 (1987)
    • (1987) Numer. Math. , vol.50 , pp. 567-586
    • Peisker, P.1    Braess, D.2
  • 14
    • 0002609579 scopus 로고    scopus 로고
    • Some estimates of the rate of convergence for the cascadic conjugate gradient method
    • [Sha96]
    • [Sha96] V.V. Shaidurov: Some estimates of the rate of convergence for the cascadic conjugate gradient method. Comp. Math. Applic. 31, 161-171 (1996)
    • (1996) Comp. Math. Applic. , vol.31 , pp. 161-171
    • Shaidurov, V.V.1
  • 15
    • 0012969871 scopus 로고    scopus 로고
    • An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element
    • [Ste98]. Technical Report 9823, University of Nijmegen, (to appear)
    • [Ste98] R.P. Stevenson: An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element. Technical Report 9823, University of Nijmegen, 1998. Math. Comp. (to appear)
    • (1998) Math. Comp.
    • Stevenson, R.P.1
  • 16
    • 0033355339 scopus 로고    scopus 로고
    • Cascadic multigrid method for elliptic problems
    • [SX99]
    • [SX99] Z.C. Shi, X. Xu: Cascadic multigrid method for elliptic problems. East-West J. Numer. Math. 7, 199-209 (1999)
    • (1999) East-West J. Numer. Math. , vol.7 , pp. 199-209
    • Shi, Z.C.1    Xu, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.