메뉴 건너뛰기




Volumn 30, Issue 6, 1996, Pages 711-729

A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domains

Author keywords

Galerkin methods; Multilevel methods; Penalty fictitious domain formulation; Preconditioned cg method; Wavelets

Indexed keywords


EID: 0039270432     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an/1996300607111     Document Type: Article
Times cited : (4)

References (17)
  • 1
    • 0026995365 scopus 로고
    • On the representation of operators in bases of compactly supported wavelets
    • G. BEYLKIN, 1992, On the representation of operators in bases of compactly supported wavelets, SIAM J. Numerical Analysis, 6, pp. 1716-1740.
    • (1992) SIAM J. Numerical Analysis , vol.6 , pp. 1716-1740
    • Beylkin, G.1
  • 3
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • I. DAUBECHIES, 1988, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math., 41, pp. 906-966.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 906-966
    • Daubechies, I.1
  • 5
    • 0001301724 scopus 로고
    • Sobolev characterization of solutions of dilation equations
    • T. EIKOLA, 1992, Sobolev characterization of solutions of dilation equations, SIAM J. Math. Anal., 23(4), pp. 1015-1030.
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.4 , pp. 1015-1030
    • Eikola, T.1
  • 8
    • 0003815501 scopus 로고
    • Springer Series in Computational Mathematics. Springer-Verlag, New York
    • W. HACKBUSCH, 1985, Multi-Grid Methods and Applications, Springer Series in Computational Mathematics. Springer-Verlag, New York.
    • (1985) Multi-grid Methods and Applications
    • Hackbusch, W.1
  • 10
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • M. R. HESTENES and E. STIEFEL, 1952, Methods of conjugate gradients for solving linear systems. J. Res. Nat. Bur. Standards, 49, pp. 409-436.
    • (1952) J. Res. Nat. Bur. Standards , vol.49 , pp. 409-436
    • Hestenes, M.R.1    Stiefel, E.2
  • 11
    • 0003266181 scopus 로고
    • The evaluation of connection coefficients of compactly supported wavelets
    • Y. Maday, editor, June 1991, New York, Princeton University, Springer-Verlag
    • A. LATTO, H. L. RESNIKOFF and E. TENENBAUM, 1992, The evaluation of connection coefficients of compactly supported wavelets. In Y. Maday, editor, Proceedings of the French-USA Workshop on Wavelets and Turbulence, June 1991, New York, Princeton University, Springer-Verlag.
    • (1992) Proceedings of the French-USA Workshop on Wavelets and Turbulence
    • Latto, A.1    Resnikoff, H.L.2    Tenenbaum, E.3
  • 13
    • 0040108575 scopus 로고
    • Wavelets and the study of two dimensional turbulence
    • Y. Maday, editor, June 1991, New York, Princeton University, Springer-Verlag
    • J. WEISS, 1992, Wavelets and the study of two dimensional turbulence. In Y. Maday, editor, Proceedings of the French-USA Workshop on Wavelets and Turbulence, June 1991, New York, Princeton University, Springer-Verlag.
    • (1992) Proceedings of the French-USA Workshop on Wavelets and Turbulence
    • Weiss, J.1
  • 14
    • 0038924407 scopus 로고
    • Representing the geometry of domains by wavelets with applications to partial differential equations
    • J. Warren, editor, SPIE
    • R. O. WELLS and XIAODONG ZHOU, 1992, Representing the geometry of domains by wavelets with applications to partial differential equations, In J. Warren, editor, Curves and Surfaces in Computer Graphics III, volume 1834, pp. 23-33. SPIE.
    • (1992) Curves and Surfaces in Computer Graphics III , vol.1834 , pp. 23-33
    • Wells, R.O.1    Zhou, X.2
  • 15
    • 21844515556 scopus 로고
    • Wavelet solutions for the Dirichlet problem
    • R. O. WELLS and XIAODONG ZHOU, 1995, Wavelet solutions for the Dirichlet problem, Numer. Math., 70, pp. 379-396.
    • (1995) Numer. Math. , vol.70 , pp. 379-396
    • Wells, R.O.1    Zhou, X.2
  • 16
    • 0011422389 scopus 로고
    • Wavelet interpolation and approximate solutions of elliptic partial differential equations
    • R. Wilson and E. A. Tanner, editors, Kluwer, to appear. Proceedings of NATO Advanced Research Workshop
    • R. O. WELLS and XIAODONG ZHOU, 1994, Wavelet interpolation and approximate solutions of elliptic partial differential equations. In R. Wilson and E. A. Tanner, editors, Noncompact Lie Groups, Kluwer, to appear. Proceedings of NATO Advanced Research Workshop.
    • (1994) Noncompact Lie Groups
    • Wells, R.O.1    Zhou, X.2
  • 17
    • 0004330846 scopus 로고
    • An introduction to multigrid methods
    • A Wiley-Interscience Series of Text, Monographs & Tracts. John Wiley & Sons, New York
    • P. WESSELING, 1991, An Introduction to MultiGrid Methods, Pure & Applied Mathematics, A Wiley-Interscience Series of Text, Monographs & Tracts. John Wiley & Sons, New York.
    • (1991) Pure & Applied Mathematics
    • Wesseling, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.