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Volumn 21, Issue 1, 2001, Pages 53-80

Exponential convergence in a Galerkin least squares hp-FEM for Stokes flow

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS; INTERPOLATION; SOBOLEV SPACES;

EID: 0035529694     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/21.1.53     Document Type: Article
Times cited : (13)

References (31)
  • 1
    • 0000808028 scopus 로고
    • The hp-version of the finite element method for domains with curved boundaries
    • BABUŠKA, I. & GUO, B. 1988a The hp-version of the finite element method for domains with curved boundaries. SIAM J. Numer. Anal. 25, 837-861.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 837-861
    • Babuška, I.1    Guo, B.2
  • 2
    • 0001003242 scopus 로고
    • Regularity of the solution of elliptic problems with piecewise analytic data I
    • BABUŠKA, I. & GUO, B. 1988b Regularity of the solution of elliptic problems with piecewise analytic data I. SIAM J. Math. Anal. 19, 172-203.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 172-203
    • Babuška, I.1    Guo, B.2
  • 3
    • 0001624937 scopus 로고
    • Regularity of the solution of elliptic problems with piecewise analytic data II
    • BABUŠKA, I. & GUO, B. 1989 Regularity of the solution of elliptic problems with piecewise analytic data II. SIAM J. Math. Anal. 20, 763-781.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 763-781
    • Babuška, I.1    Guo, B.2
  • 4
    • 0000640678 scopus 로고
    • Direct and inverse error estimates for finite elements with mesh refinements
    • BABUŠKA, I., KELLOG, R., & PITKÄRANTA, J. 1979 Direct and inverse error estimates for finite elements with mesh refinements. Numer. Math. 33, 447-471.
    • (1979) Numer. Math. , vol.33 , pp. 447-471
    • Babuška, I.1    Kellog, R.2    Pitkäranta, J.3
  • 6
    • 0033472482 scopus 로고    scopus 로고
    • Uniform inf-sup conditions for the spectral discretization of the stokes problem
    • BERNARDI, C. & MADAY, Y. 1999 Uniform inf-sup conditions for the spectral discretization of the Stokes problem. Math. Methods Appl. Sci. 9, 395-414.
    • (1999) Math. Methods Appl. Sci. , vol.9 , pp. 395-414
    • Bernardi, C.1    Maday, Y.2
  • 8
    • 0000698561 scopus 로고
    • Stabilized mixed methods for the Stokes problem
    • BREZZI, F. & DOUGLAS JR., J. 1988 Stabilized mixed methods for the Stokes problem. Numer. Math. 53, 225-236.
    • (1988) Numer. Math. , vol.53 , pp. 225-236
    • Brezzi, F.1    Douglas J., Jr.2
  • 10
    • 84966220003 scopus 로고
    • An absolutely stabilized finite element method for the Stokes problem
    • DOUGLAS JR, J. & WANG, J. 1989 An absolutely stabilized finite element method for the Stokes problem. Math. Comput. 52, 495-508.
    • (1989) Math. Comput. , vol.52 , pp. 495-508
    • Douglas J., Jr.1    Wang, J.2
  • 11
    • 0026386228 scopus 로고
    • Error analysis of some Galerkin least squares methods for the elasticity equations
    • FRANCA, L. & STENBERG, R. 1991 Error analysis of some Galerkin least squares methods for the elasticity equations. SIAM J. Numer. Anal. 28, 1680-1697.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1680-1697
    • Franca, L.1    Stenberg, R.2
  • 13
    • 0032759774 scopus 로고    scopus 로고
    • hp-finite element simulation for Stokes flow - Stable and stabilized
    • GERDES, K. & SCHÖTZAU, D. 1999 hp-Finite element simulation for Stokes flow - stable and stabilized. Finite Elements in Analysis and Design 33, 143-165.
    • (1999) Finite Elements in Analysis and Design , vol.33 , pp. 143-165
    • Gerdes, K.1    Schötzau, D.2
  • 14
    • 0001521891 scopus 로고    scopus 로고
    • Stabilized spectral element approximation for the Navier-Stokes equations
    • GERVASIO, P. & SALERI, F. 1998 Stabilized spectral element approximation for the Navier-Stokes equations. Numer. Meth. Part. Diff. Eqs. 14, 115-141.
    • (1998) Numer. Meth. Part. Diff. Eqs. , vol.14 , pp. 115-141
    • Gervasio, P.1    Saleri, F.2
  • 16
    • 0002898475 scopus 로고
    • The hp-version of the finite element method for elliptic equations of order 2m
    • GUO, B. 1988 The hp-version of the finite element method for elliptic equations of order 2m. Numer. Math. 53, 199-224.
    • (1988) Numer. Math. , vol.53 , pp. 199-224
    • Guo, B.1
  • 17
    • 0042893223 scopus 로고
    • The hp-version of the finite element method I: The basic approximation results
    • GUO, B. & BABUŠKA, I. 1986a The hp-version of the finite element method I: the basic approximation results. Comput. Mech. 1, 21-41.
    • (1986) Comput. Mech. , vol.1 , pp. 21-41
    • Guo, B.1    Babuška, I.2
  • 18
    • 0039977843 scopus 로고
    • The hp-version of the finite element method II: General results and applications
    • GUO, B. & BABUŠKA, I. 1986b The hp-version of the finite element method II: general results and applications. Comput. Mech. 1, 203-226.
    • (1986) Comput. Mech. , vol.1 , pp. 203-226
    • Guo, B.1    Babuška, I.2
  • 19
    • 0007102981 scopus 로고
    • On the regularity of elasticity problems with piecewise analytic data
    • GUO, B. & BABUŠKA, I. 1993 On the regularity of elasticity problems with piecewise analytic data. Adv. Appl. Math. 14, 307-347.
    • (1993) Adv. Appl. Math. , vol.14 , pp. 307-347
    • Guo, B.1    Babuška, I.2
  • 20
    • 0007013288 scopus 로고    scopus 로고
    • In preparation
    • GUO, B. & SCHWAB, C. 2000 (In preparation).
    • (2000)
    • Guo, B.1    Schwab, C.2
  • 21
    • 0000182351 scopus 로고    scopus 로고
    • Stabilized hp-FEM for first-order hyperbolic problems
    • To appear
    • HOUSTON, P., SCHWAB, C., & SÜLI, E. 2000 Stabilized hp-FEM for first-order hyperbolic problems. SIAM J. Numer. Anal. (To appear).
    • (2000) SIAM J. Numer. Anal.
    • Houston, P.1    Schwab, C.2    Süli, E.3
  • 22
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics. V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
    • HUGHES, T., FRANCA, L., & BALESTRA, M. 1986 A new finite element formulation for computational fluid dynamics. V. Circumventing the Babuška-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Comput. Meth. Appl. Mech. Engrg. 59, 85-99.
    • (1986) Comput. Meth. Appl. Mech. Engrg. , vol.59 , pp. 85-99
    • Hughes, T.1    Franca, L.2    Balestra, M.3
  • 28
    • 0033516441 scopus 로고    scopus 로고
    • Mixed hp finite element methods for Stokes and non-Newtonian flow
    • SCHWAB, C. & SURI, M. 1999 Mixed hp finite element methods for Stokes and Non-Newtonian flow. Comput. Meth. Appl. Mech. Engrg. 175, 217-241.
    • (1999) Comput. Meth. Appl. Mech. Engrg. , vol.175 , pp. 217-241
    • Schwab, C.1    Suri, M.2
  • 29
    • 84966256275 scopus 로고
    • Error analysis of some finite element methods for the Stokes problem
    • STENBERG, R. 1990 Error analysis of some finite element methods for the Stokes problem. Math. Comput. 54, 495-508.
    • (1990) Math. Comput. , vol.54 , pp. 495-508
    • Stenberg, R.1
  • 30
    • 0039270320 scopus 로고    scopus 로고
    • Mixed hp finite element methods for problems in elasticity and Stokes flow
    • STENBERG, R. & SURI, M. 1996 Mixed hp finite element methods for problems in elasticity and Stokes flow. Numer. Math. 72, 367-389.
    • (1996) Numer. Math. , vol.72 , pp. 367-389
    • Stenberg, R.1    Suri, M.2
  • 31
    • 0000935072 scopus 로고    scopus 로고
    • Analysis of a streamline diffusion finite element method for the Stokes and Navier-Stokes equations
    • TOBISKA, L. & VERFÜRTH, R. 1996 Analysis of a streamline diffusion finite element method for the Stokes and Navier-Stokes equations. SIAM J. Numer. Anal. 33, 107-127.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 107-127
    • Tobiska, L.1    Verfürth, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.