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Volumn 16, Issue 3, 2001, Pages 287-317

Error estimates for semidiscrete finite element approximations of the Stokes equations under minimal regularity assumptions

Author keywords

Error estimate; Finite element; Semidiscrete approximation; Stokes equations

Indexed keywords

ERROR ESTIMATES; MINIMAL REGULARITY ASSUMPTIONS; SEMIDISCRETE APPROXIMATION; STOKES EQUATION;

EID: 7544238269     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (23)
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    • Chang, C., and Gunzburger, M. (1987), A finite element method for first order elliptic systems in three dimensions. Appl. Math. Comput. 23, 171-184.
    • (1987) Appl. Math. Comput. , vol.23 , pp. 171-184
    • Chang, C.1    Gunzburger, M.2
  • 5
    • 0036556593 scopus 로고    scopus 로고
    • Error estimates for semidiscrete finite element approximations of linear and semilinear parabolic equations under minimal regularity assumptions
    • to appear
    • Chrysafinos, K., and Hou, L. Error estimates for semidiscrete finite element approximations of linear and semilinear parabolic equations under minimal regularity assumptions. SIAM J. Numer. Anal., to appear.
    • SIAM J. Numer. Anal.
    • Chrysafinos, K.1    Hou, L.2
  • 8
    • 0035993967 scopus 로고    scopus 로고
    • Trace theorems for three dimensional time-dependent solonoidal vector fields and their applications
    • to appear
    • Fursikov, A., Gunzburger, M., and Hou, L. Trace theorems for three dimensional time-dependent solonoidal vector fields and their applications. Trans. Amer. Math. Soc., to appear.
    • Trans. Amer. Math. Soc.
    • Fursikov, A.1    Gunzburger, M.2    Hou, L.3
  • 9
    • 84966251358 scopus 로고
    • Potential space estimates for Green potentials in convex domains
    • Fromm, S. (1993). Potential space estimates for Green potentials in convex domains. Proc. Amer. Math. Soc. 119, 225-233.
    • (1993) Proc. Amer. Math. Soc. , vol.119 , pp. 225-233
    • Fromm, S.1
  • 10
    • 7544232059 scopus 로고
    • Regularity of the Dirichlet problem in convex domains in the plane
    • Fromm, S. (1994). Regularity of the Dirichlet problem in convex domains in the plane. Michigan Math. J. 41, 225-233.
    • (1994) Michigan Math. J. , vol.41 , pp. 225-233
    • Fromm, S.1
  • 11
    • 84974001590 scopus 로고
    • Third derivative estimates for Dirichlet's problem in convex domains
    • Fromm, S., and Jerison, D. (1994). Third derivative estimates for Dirichlet's problem in convex domains. Duke Math. J. 73, 225-233.
    • (1994) Duke Math. J. , vol.73 , pp. 225-233
    • Fromm, S.1    Jerison, D.2
  • 15
    • 0000966077 scopus 로고
    • Finite element approximation of the nonstationary Navier-Stokes problem, Part I. Regularity of solutions and second-order error estimates for spatial discretization
    • Heywood, J., and Rannacher, R. (1982). Finite element approximation of the nonstationary Navier-Stokes problem, Part I. Regularity of solutions and second-order error estimates for spatial discretization. SIAM J. Numer. Anal. 19, 275-311.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 275-311
    • Heywood, J.1    Rannacher, R.2
  • 16
    • 0022767064 scopus 로고
    • Finite element approximation of the nonstationary Navier-Stokes problem, Part II. Stability of solutions and error estimates uniform in time
    • Heywood, J., and Rannacher, R. (1986). Finite element approximation of the nonstationary Navier-Stokes problem, Part II. Stability of solutions and error estimates uniform in time. SIAM J. Numer. Anal. 23, 750-777.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 750-777
    • Heywood, J.1    Rannacher, R.2
  • 17
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    • Finite element approximation of the nonstationary Navier-Stokes problem, Part III. Smoothing property and higher order error estimates for spatial discretization
    • Heywood, J., and Rannacher, R. (1988). Finite element approximation of the nonstationary Navier-Stokes problem, Part III. Smoothing property and higher order error estimates for spatial discretization. SIAM J. Numer. Anal. 25, 489-512.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 489-512
    • Heywood, J.1    Rannacher, R.2
  • 18
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    • Error estimates for some mixed finite element methods for parabolic type problems
    • Johnson, C., and Thomée, V. (1981). Error estimates for some mixed finite element methods for parabolic type problems. RAIRO Anal. Numer. 15, 41-78.
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    • Johnson, C.1    Thomée, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.