메뉴 건너뛰기




Volumn 4, Issue 1, 2006, Pages 23-39

Wavelet natural boundary element method for the Neumann exterior problem of stokes equations

Author keywords

Hadamard singular kernel; Natural boundary element; Stokes equations; Wavelet

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; GALERKIN METHODS; INTEGRAL EQUATIONS; NAVIER STOKES EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; STIFFNESS MATRIX;

EID: 33645092917     PISSN: 02196913     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219691306001075     Document Type: Article
Times cited : (7)

References (16)
  • 1
    • 0030496223 scopus 로고    scopus 로고
    • Wavelet approximations for first kind boundary integral equationsom polygons
    • T. V. Petersdorff and C. Schwab, Wavelet approximations for first kind boundary integral equationsom polygons, Numer. Math. 74 (1996) 479-519.
    • (1996) Numer. Math. , vol.74 , pp. 479-519
    • Petersdorff, T.V.1    Schwab, C.2
  • 2
    • 31044451709 scopus 로고    scopus 로고
    • Haddamard singular integral equations and its Hermite wavelets methods
    • eds. Joji Kajiwara et al. (Beijing, China)
    • W. S. Chen and W. Lin, Haddamard singular integral equations and its Hermite wavelets methods, in Proc. 5th Int. Colloquium on Finite or Infinite Dimensional Complex Analysis, eds. Joji Kajiwara et al. (Beijing, China, 1997), pp. 13-22.
    • (1997) Proc. 5th Int. Colloquium on Finite or Infinite Dimensional Complex Analysis , pp. 13-22
    • Chen, W.S.1    Lin, W.2
  • 3
    • 0031277073 scopus 로고    scopus 로고
    • Wavelet Galerkin methods for second-kind integral equations
    • C. A. Micchelli, Y. Xu and Y. Zhao, Wavelet Galerkin methods for second-kind integral equations, J. Comput. Appl. Math. 86 (1997) 251-270.
    • (1997) J. Comput. Appl. Math. , vol.86 , pp. 251-270
    • Micchelli, C.A.1    Xu, Y.2    Zhao, Y.3
  • 4
    • 0032074749 scopus 로고    scopus 로고
    • A wavelet algorithm for the boundary element solution of a geodetic boundary value problem
    • A. Rathsfeld, A wavelet algorithm for the boundary element solution of a geodetic boundary value problem, Comput. Methods Appl. Mech. Engrg. 157 (1998) 267-287.
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.157 , pp. 267-287
    • Rathsfeld, A.1
  • 5
    • 0033293793 scopus 로고    scopus 로고
    • Wavelet Galerkin algorithms for boundary integral equations
    • 61997
    • C. Lage and C. Schwab, Wavelet Galerkin algorithms for boundary integral equations, J. Sci. Comput. 20(61997) (1999) 2195-2222.
    • (1999) J. Sci. Comput. , vol.20 , pp. 2195-2222
    • Lage, C.1    Schwab, C.2
  • 6
    • 0035947497 scopus 로고    scopus 로고
    • Galerkin trigonometric wavelet methods for the natural boundary integral equations
    • W. S. Chen and W. Lin, Galerkin trigonometric wavelet methods for the natural boundary integral equations, Appl. Math. Comput. 121(1) (2001) 75-92.
    • (2001) Appl. Math. Comput. , vol.121 , Issue.1 , pp. 75-92
    • Chen, W.S.1    Lin, W.2
  • 7
    • 33645050894 scopus 로고    scopus 로고
    • On the stability of multiscale wavelet methods with applications to Navier-Stokes equations
    • K. Böhmer and S. Dahlke, On the stability of multiscale wavelet methods with applications to Navier-Stokes equations, Int. J. Pure Appl. Math. 6(4) (2003) 465-489.
    • (2003) Int. J. Pure Appl. Math. , vol.6 , Issue.4 , pp. 465-489
    • Böhmer, K.1    Dahlke, S.2
  • 8
    • 0042809561 scopus 로고    scopus 로고
    • On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations
    • A. Rathsfeld and R. Schneider, On a quadrature algorithm for the piecewise linear wavelet collocation applied to boundary integral equations, Math. Methods Appl. Sci. 26(11) (2003) 937-979.
    • (2003) Math. Methods Appl. Sci. , vol.26 , Issue.11 , pp. 937-979
    • Rathsfeld, A.1    Schneider, R.2
  • 9
    • 5044240111 scopus 로고    scopus 로고
    • A note on wavenumber dependence of wavelet matrix compression for integral equations with oscillatory kernel
    • D. Huybrechs, J. Simoens and S. Vandewalle, A note on wavenumber dependence of wavelet matrix compression for integral equations with oscillatory kernel, J. Comput. Appl. Math. 172(2) (2004) 233-246.
    • (2004) J. Comput. Appl. Math. , vol.172 , Issue.2 , pp. 233-246
    • Huybrechs, D.1    Simoens, J.2    Vandewalle, S.3
  • 10
    • 27644481594 scopus 로고    scopus 로고
    • Adaptive wavelet methods for linear-quadratic elliptic control problems: Convergence rates
    • W. Dahmen and A. Kunoth, Adaptive wavelet methods for linear-quadratic elliptic control problems: Convergence rates, SIAM J. Control. Optim. 43(5) (2005) 1640-1675.
    • (2005) SIAM J. Control. Optim. , vol.43 , Issue.5 , pp. 1640-1675
    • Dahmen, W.1    Kunoth, A.2
  • 13
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • S. Mallat, A theory for multiresolution signal decomposition: The wavelet representation, IEEE Pattern Anal. Mach. Intell. 11(7) (1989) 674-693.
    • (1989) IEEE Pattern Anal. Mach. Intell. , vol.11 , Issue.7 , pp. 674-693
    • Mallat, S.1
  • 16
    • 0030352475 scopus 로고    scopus 로고
    • Trigonometric wavelets for Hermite interploation
    • E. Quak, Trigonometric wavelets for Hermite interploation, Math. Comp. 65 (1996) 683-722.
    • (1996) Math. Comp. , vol.65 , pp. 683-722
    • Quak, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.