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Volumn 20, Issue 4, 2000, Pages 533-559

Wavelet stabilization and preconditioning for domain decomposition

Author keywords

[No Author keywords available]

Indexed keywords

STABILIZATION; WAVELET DECOMPOSITION;

EID: 0034288803     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/20.4.533     Document Type: Article
Times cited : (21)

References (28)
  • 1
    • 34250459417 scopus 로고
    • The finite element method with Lagrange multipliers
    • BABUSKA, I. 1973 The finite element method with Lagrange multipliers. Numer. Math. 20, 179-192.
    • (1973) Numer. Math. , vol.20 , pp. 179-192
    • Babuska, I.1
  • 3
    • 0002423829 scopus 로고
    • Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms
    • BARBOSA, H. & HUGHES, T. 1992 Boundary Lagrange multipliers in finite element methods: error analysis in natural norms. Numer. Math. 62, 1-15.
    • (1992) Numer. Math. , vol.62 , pp. 1-15
    • Barbosa, H.1    Hughes, T.2
  • 5
    • 0000102411 scopus 로고    scopus 로고
    • Stabilization by multiscale decomposition
    • BERTOLUZZA, S. 1998a Stabilization by multiscale decomposition. Appl. Math. Lett. 11, 129-134.
    • (1998) Appl. Math. Lett. , vol.11 , pp. 129-134
    • Bertoluzza, S.1
  • 6
    • 0041872908 scopus 로고    scopus 로고
    • Wavelet stabilization of the Lagrange multiplier method
    • Technical Report 1104, I.A.N.-C.N.R, Pavia, Italy
    • BERTOLUZZA, S. 1998b Wavelet stabilization of the Lagrange multiplier method. Technical Report 1104, I.A.N.-C.N.R, Pavia, Italy. To appear in Numer. Math.
    • (1998) Numer. Math.
    • Bertoluzza, S.1
  • 8
    • 0034403952 scopus 로고    scopus 로고
    • Computational scales of Sobolev norms with application to preconditioning
    • BRAMBLE, J. H., PASCIAK, J. E., & VASSILEVSKI, P. S. 2000 Computational scales of Sobolev norms with application to preconditioning. Math. Comp 69, 463-480.
    • (2000) Math. Comp , vol.69 , pp. 463-480
    • Bramble, J.H.1    Pasciak, J.E.2    Vassilevski, P.S.3
  • 12
    • 0001884897 scopus 로고
    • Macro hybrid elements and domain decomposition methods
    • Actes du colloque organise en l'honneur du soixantieme anniversaire de Jean Céa, Sophia-Antipolis, France, Avril 8-10, 1992, Toulouse
    • BREZZI, F. & MARINI, L. 1993 Macro hybrid elements and domain decomposition methods. Optimisation et Controle Cepadues Editions, pp. 89-96. Actes du colloque organise en l'honneur du soixantieme anniversaire de Jean Céa, Sophia-Antipolis, France, Avril 8-10, 1992, Toulouse.
    • (1993) Optimisation et Controle Cepadues Editions , pp. 89-96
    • Brezzi, F.1    Marini, L.2
  • 13
    • 0000389065 scopus 로고
    • A three-field domain decomposition method
    • BREZZI, F. & MARINI, L. 1994 A three-field domain decomposition method. Contemp. Math. 157, 27-34.
    • (1994) Contemp. Math. , vol.157 , pp. 27-34
    • Brezzi, F.1    Marini, L.2
  • 15
    • 0007372257 scopus 로고    scopus 로고
    • The wavelet element method. Part I: Construction and analysis
    • CANUTO, C., TABACCO, A., & URBAN, K. 1999 The wavelet element method. Part I: Construction and analysis. Appl. Comput. Harm. Anal. 6, 1-52.
    • (1999) Appl. Comput. Harm. Anal. , vol.6 , pp. 1-52
    • Canuto, C.1    Tabacco, A.2    Urban, K.3
  • 17
    • 33344473146 scopus 로고    scopus 로고
    • Wavelet characterizations of function spaces on skeletons
    • (Tanger, Morocco, April 13-17), INRIA Report
    • DAHLKE, S. & KUNOTH, A. 1998 Wavelet characterizations of function spaces on skeletons. Proc. Int. Wavelets Conf. Wavelets and Multiscale Methods (Tanger, Morocco, April 13-17), INRIA Report.
    • (1998) Proc. Int. Wavelets Conf. Wavelets and Multiscale Methods
    • Dahlke, S.1    Kunoth, A.2
  • 18
    • 1842484444 scopus 로고    scopus 로고
    • Stability of multiscale transformations
    • DAHMEN, W. 1996 Stability of multiscale transformations. J. Fourier Anal. Applic. 2, 341-361.
    • (1996) J. Fourier Anal. Applic. , vol.2 , pp. 341-361
    • Dahmen, W.1
  • 19
    • 85011480386 scopus 로고    scopus 로고
    • Wavelet and multiscale methods for operator equations
    • DAHMEN, W. 1997 Wavelet and multiscale methods for operator equations. Acta Numer. 6, 55-228.
    • (1997) Acta Numer. , vol.6 , pp. 55-228
    • Dahmen, W.1
  • 20
    • 33845592412 scopus 로고
    • Multilevel preconditioning
    • DAHMEN, W. & KUNOTH, A. 1992 Multilevel preconditioning. Numer. Math. 63, 315-344.
    • (1992) Numer. Math. , vol.63 , pp. 315-344
    • Dahmen, W.1    Kunoth, A.2
  • 21
    • 85037794858 scopus 로고    scopus 로고
    • Appending boundary conditions by Lagrange multipliers: General criteria for the LBB condition
    • IGPM, RWTH Aachen report
    • DAHMEN, W. & KUNOTH, A. 1998 Appending boundary conditions by Lagrange multipliers: general criteria for the LBB condition. IGPM, RWTH Aachen report n. 164. To appear in Numer. Math.
    • (1998) Numer. Math. , vol.164
    • Dahmen, W.1    Kunoth, A.2
  • 23
    • 0001787026 scopus 로고    scopus 로고
    • Biorthogonal spline-wavelets on the interval-stability and moment conditions
    • DAHMEN, W., KUNOTH, A., & URBAN, K. 1999b Biorthogonal spline-wavelets on the interval-stability and moment conditions. Appl. Comput. Harm. Anal. 6, 132-196.
    • (1999) Appl. Comput. Harm. Anal. , vol.6 , pp. 132-196
    • Dahmen, W.1    Kunoth, A.2
  • 24
    • 0033426280 scopus 로고    scopus 로고
    • Composite wavelet bases for operator equations
    • DAHMEN, W. & SCHNEIDER, R. 1999a Composite wavelet bases for operator equations. Math. Comp 68, 1533-1567.
    • (1999) Math. Comp , vol.68 , pp. 1533-1567
    • Dahmen, W.1    Schneider, R.2
  • 25
    • 0033233501 scopus 로고    scopus 로고
    • Wavelets on manifolds I: Construction and domain decomposition
    • DAHMEN, W. & SCHNEIDER, R. 1999b Wavelets on manifolds I: construction and domain decomposition. Siam Jour. Math. Anal 31, 184-239.
    • (1999) Siam Jour. Math. Anal , vol.31 , pp. 184-239
    • Dahmen, W.1    Schneider, R.2
  • 26
    • 0002251677 scopus 로고
    • On the discretization of interdomain coupling in elliptic boundary-value problems
    • (T. Chan, R. Glowinski, J. Periaux & O. Widlund eds). Philadelphia: SIAM
    • DORR, M. R. 1989 On the discretization of interdomain coupling in elliptic boundary-value problems. Second Int. Symp. on Domain Decomposition Methods for Partial Differential Equations (T. Chan, R. Glowinski, J. Periaux & O. Widlund eds). Philadelphia: SIAM.
    • (1989) Second Int. Symp. on Domain Decomposition Methods for Partial Differential Equations
    • Dorr, M.R.1
  • 28
    • 0029395278 scopus 로고
    • On some techniques for approximating boundary conditions in the finite element method
    • STENBERG, R. 1995 On some techniques for approximating boundary conditions in the finite element method. J. Comput. Appl. Math. 63, 139-148.
    • (1995) J. Comput. Appl. Math. , vol.63 , pp. 139-148
    • Stenberg, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.