메뉴 건너뛰기




Volumn 226, Issue 1, 2007, Pages 994-1006

An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation

Author keywords

Conservation; Finite elements; Least squares; Multigrid; Navier Stokes

Indexed keywords

ASPECT RATIO; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; VISCOUS FLOW;

EID: 34548440218     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.05.005     Document Type: Article
Times cited : (44)

References (25)
  • 1
    • 0001058186 scopus 로고    scopus 로고
    • Analysis of least-squares finite element methods for the Navier-Stokes equations
    • Bochev P. Analysis of least-squares finite element methods for the Navier-Stokes equations. SIAM J. Numer. Anal. 34 5 (1997) 1817-1844
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.5 , pp. 1817-1844
    • Bochev, P.1
  • 2
    • 0001408249 scopus 로고    scopus 로고
    • Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations: part 1
    • Bochev P., Cai Z., Manteuffel T., and McCormick S. Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations: part 1. SIAM J. Numer. Anal. 35 (1998) 990-1009
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 990-1009
    • Bochev, P.1    Cai, Z.2    Manteuffel, T.3    McCormick, S.4
  • 3
    • 0001408249 scopus 로고    scopus 로고
    • Analysis of velocity-flux least-squares principles for the Navier-Stokes equations: Part i
    • Bochev P., Cai Z., Manteuffel T., and McCormick S. Analysis of velocity-flux least-squares principles for the Navier-Stokes equations: Part i. SIAM J. Numer. Anal. 35 3 (1998) 990-1009
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.3 , pp. 990-1009
    • Bochev, P.1    Cai, Z.2    Manteuffel, T.3    McCormick, S.4
  • 4
    • 0027628067 scopus 로고
    • Accuracy of least-squares methods for the Navier-Stokes equations
    • Bochev P., and Gunzburger M. Accuracy of least-squares methods for the Navier-Stokes equations. Comput. Fluids 22 4/5 (1993) 549-563
    • (1993) Comput. Fluids , vol.22 , Issue.4-5 , pp. 549-563
    • Bochev, P.1    Gunzburger, M.2
  • 5
    • 0032294378 scopus 로고    scopus 로고
    • Finite element methods of least-squares type
    • Bochev P., and Gunzburger M. Finite element methods of least-squares type. SIAM Rev. 40 4 (1998) 789-837
    • (1998) SIAM Rev. , vol.40 , Issue.4 , pp. 789-837
    • Bochev, P.1    Gunzburger, M.2
  • 6
    • 0038017341 scopus 로고    scopus 로고
    • Analysis of velocity-flux least-squares principles for the Navier-Stokes equations: Part ii
    • Bochev P., Manteuffel T., and McCormick S. Analysis of velocity-flux least-squares principles for the Navier-Stokes equations: Part ii. SIAM J. Numer. Anal. 36 4 (1999) 1125-1144
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.4 , pp. 1125-1144
    • Bochev, P.1    Manteuffel, T.2    McCormick, S.3
  • 9
    • 0000260120 scopus 로고    scopus 로고
    • First-order system least squares for the Stokes equations, with application to linear elasticity
    • Cai Z., Manteuffel T., and McCormick S. First-order system least squares for the Stokes equations, with application to linear elasticity. SIAM J. Numer. Anal. 34 5 (1997) 1727-1741
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.5 , pp. 1727-1741
    • Cai, Z.1    Manteuffel, T.2    McCormick, S.3
  • 10
    • 0000260122 scopus 로고    scopus 로고
    • First-order system least squares for second-order partial differential equations: Part ii
    • Cai Z., Mantueffel T.A., and McCormick S.F. First-order system least squares for second-order partial differential equations: Part ii. SIAM J. Numer. Anal. 34 2 (1997) 425-545
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.2 , pp. 425-545
    • Cai, Z.1    Mantueffel, T.A.2    McCormick, S.F.3
  • 11
    • 0000981612 scopus 로고    scopus 로고
    • Least-squares finite element method for the Stokes problem with zero residual of mass conservation
    • Chang C., and Nelson J. Least-squares finite element method for the Stokes problem with zero residual of mass conservation. SIAM J. Numer. Anal. 34 2 (1997) 480-489
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.2 , pp. 480-489
    • Chang, C.1    Nelson, J.2
  • 12
    • 11044232559 scopus 로고    scopus 로고
    • Multilevel first-order system least squares for nonlinear partial differential equations
    • Codd A., Manteuffel T., and McCormick S. Multilevel first-order system least squares for nonlinear partial differential equations. SIAM J. Numer. Anal. 41 6 (2003) 2197-2209
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.6 , pp. 2197-2209
    • Codd, A.1    Manteuffel, T.2    McCormick, S.3
  • 13
    • 11044238576 scopus 로고    scopus 로고
    • Multilevel first-order system least squares for elliptic grid generation
    • Codd A., Manteuffel T., McCormick S., and Ruge J.W. Multilevel first-order system least squares for elliptic grid generation. SIAM J. Numer. Anal. 41 6 (2003) 2210-2232
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.6 , pp. 2210-2232
    • Codd, A.1    Manteuffel, T.2    McCormick, S.3    Ruge, J.W.4
  • 14
    • 0032226442 scopus 로고    scopus 로고
    • Issues related to least-squares finite element methods for the stokes equations
    • Deang J., and Gunzburger M. Issues related to least-squares finite element methods for the stokes equations. SIAM J. Sci. Comp. 20 3 (1998) 878-906
    • (1998) SIAM J. Sci. Comp. , vol.20 , Issue.3 , pp. 878-906
    • Deang, J.1    Gunzburger, M.2
  • 15
    • 84886852494 scopus 로고    scopus 로고
    • hypre: A library of high performance preconditioners
    • Falgout R., and Yang U. hypre: A library of high performance preconditioners. Lecture Notes Comput. Sci. 2331 (2002) 632-641
    • (2002) Lecture Notes Comput. Sci. , vol.2331 , pp. 632-641
    • Falgout, R.1    Yang, U.2
  • 16
    • 33745210525 scopus 로고    scopus 로고
    • Pursuing scalability for hypre's conceptual interfaces
    • Falgout R., and Yang U. Pursuing scalability for hypre's conceptual interfaces. ACM Trans. Math. Software 31 3 (2005) 326-350
    • (2005) ACM Trans. Math. Software , vol.31 , Issue.3 , pp. 326-350
    • Falgout, R.1    Yang, U.2
  • 19
    • 15944403194 scopus 로고    scopus 로고
    • Algebraic multigrid for higher-order finite elements
    • Heys J., Manteuffel T., McCormick S., and Olson L. Algebraic multigrid for higher-order finite elements. J. Comput. Phys. 204 2 (2005) 520-532
    • (2005) J. Comput. Phys. , vol.204 , Issue.2 , pp. 520-532
    • Heys, J.1    Manteuffel, T.2    McCormick, S.3    Olson, L.4
  • 20
    • 1842683260 scopus 로고    scopus 로고
    • First-order systems least squares (FOSLS) for coupled fluid-elastic problems
    • Heys J., Manteuffel T., McCormick S., and Ruge J. First-order systems least squares (FOSLS) for coupled fluid-elastic problems. J. Comput. Phys. 195 2 (2004) 560-575
    • (2004) J. Comput. Phys. , vol.195 , Issue.2 , pp. 560-575
    • Heys, J.1    Manteuffel, T.2    McCormick, S.3    Ruge, J.4
  • 22
    • 0032131147 scopus 로고    scopus 로고
    • A fast and high quality multilevel scheme for partitioning irregular graphs
    • Karypis G., and Kumar V. A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 20 1 (1998) 359-392
    • (1998) SIAM J. Sci. Comput. , vol.20 , Issue.1 , pp. 359-392
    • Karypis, G.1    Kumar, V.2
  • 23
    • 33748419683 scopus 로고    scopus 로고
    • A least-squares finite element formulation for unsteady incompressible flows with improved velocity-pressure coupling
    • Pontaza J. A least-squares finite element formulation for unsteady incompressible flows with improved velocity-pressure coupling. J. Comput. Phys. 217 2 (2006) 563-588
    • (2006) J. Comput. Phys. , vol.217 , Issue.2 , pp. 563-588
    • Pontaza, J.1
  • 24
    • 3242685785 scopus 로고    scopus 로고
    • Space-time coupled spectral/hp least-squares finite element formulations for the incompressible Navier-Stokes equations
    • Pontaza J., and Reddy J. Space-time coupled spectral/hp least-squares finite element formulations for the incompressible Navier-Stokes equations. J. Comput. Phys. 197 (2004) 418-459
    • (2004) J. Comput. Phys. , vol.197 , pp. 418-459
    • Pontaza, J.1    Reddy, J.2
  • 25
    • 33745038997 scopus 로고    scopus 로고
    • Mass- and momentum conservation of the least-squares spectral element method for the stokes problem
    • Proot M., and Gerritsma M. Mass- and momentum conservation of the least-squares spectral element method for the stokes problem. J. Sci. Comput. 27 1-3 (2006) 389-401
    • (2006) J. Sci. Comput. , vol.27 , Issue.1-3 , pp. 389-401
    • Proot, M.1    Gerritsma, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.