메뉴 건너뛰기




Volumn 56, Issue 7, 2008, Pages 941-950

Divergence-free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme

Author keywords

Discontinuous Galerkin; Divergence free solutions; MAC scheme

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; GALERKIN METHODS; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS;

EID: 39849109679     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1566     Document Type: Article
Times cited : (43)

References (15)
  • 1
    • 21644481738 scopus 로고    scopus 로고
    • A locally conservative LDG method for the incompressible Navier-Stokes equations
    • Cockburn B, Kanschat G, Schötzau D. A locally conservative LDG method for the incompressible Navier-Stokes equations. Mathematics of Computation 2005; 74:1067-1095.
    • (2005) Mathematics of Computation , vol.74 , pp. 1067-1095
    • Cockburn, B.1    Kanschat, G.2    Schötzau, D.3
  • 2
    • 34247389618 scopus 로고    scopus 로고
    • A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
    • Cockburn B, Kanschat G, Schötzau D. A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations. Journal of Scientific Computing 2007; 31:61-73.
    • (2007) Journal of Scientific Computing , vol.31 , pp. 61-73
    • Cockburn, B.1    Kanschat, G.2    Schötzau, D.3
  • 3
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
    • Harlow FH, Welch JE. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Physics of Fluids 1965; 8(12):2182-2189.
    • (1965) Physics of Fluids , vol.8 , Issue.12 , pp. 2182-2189
    • Harlow, F.H.1    Welch, J.E.2
  • 4
    • 0026981258 scopus 로고
    • Analysis and convergence of the MAC scheme. I. The linear problem
    • Nicolaides RA. Analysis and convergence of the MAC scheme. I. The linear problem. SIAM Journal on Numerical Analysis 1992; 29(6):1579-1591.
    • (1992) SIAM Journal on Numerical Analysis , vol.29 , Issue.6 , pp. 1579-1591
    • Nicolaides, R.A.1
  • 5
    • 0030364597 scopus 로고    scopus 로고
    • Analysis and convergence of the MAC scheme. II. Navier-Stokes equations
    • Nicolaides RA, Wu X. Analysis and convergence of the MAC scheme. II. Navier-Stokes equations. Mathematics of Computation 1996; 65(213):29-44.
    • (1996) Mathematics of Computation , vol.65 , Issue.213 , pp. 29-44
    • Nicolaides, R.A.1    Wu, X.2
  • 6
  • 7
    • 0009791176 scopus 로고    scopus 로고
    • A new mixed finite element formulation and the MAC method for the Stokes equations
    • Han H, Wu X. A new mixed finite element formulation and the MAC method for the Stokes equations. SIAM Journal on Numerical Analysis 1998; 35(2):560-571.
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , Issue.2 , pp. 560-571
    • Han, H.1    Wu, X.2
  • 8
    • 0001566269 scopus 로고    scopus 로고
    • Multigrid and Krylov subspace methods for the discrete Stokes equations
    • Elman HC. Multigrid and Krylov subspace methods for the discrete Stokes equations. International Journal for Numerical Methods in Fluids 1996; 22(8):755-770.
    • (1996) International Journal for Numerical Methods in Fluids , vol.22 , Issue.8 , pp. 755-770
    • Elman, H.C.1
  • 9
    • 0033279287 scopus 로고    scopus 로고
    • Preconditioning for the steady-state Navier-Stokes equations with low viscosity
    • Elman HC. Preconditioning for the steady-state Navier-Stokes equations with low viscosity. SIAM Journal on Scientific Computing 1999; 20(4):1299-1316.
    • (1999) SIAM Journal on Scientific Computing , vol.20 , Issue.4 , pp. 1299-1316
    • Elman, H.C.1
  • 10
    • 0001584397 scopus 로고
    • Multi-grid methods for Stokes and Navier-Stokes equations. Transforming smoothers: Algorithms and numerical results
    • Wittum. G. Multi-grid methods for Stokes and Navier-Stokes equations. Transforming smoothers: algorithms and numerical results. Numerische Mathematik 1989; 54(5):543-563.
    • (1989) Numerische Mathematik , vol.54 , Issue.5 , pp. 543-563
    • Wittum, G.1
  • 11
    • 0002801220 scopus 로고
    • On the convergence of multi-grid methods with transforming smoothers. Theory with applications to the Navier-Stokes equations
    • Wittum G. On the convergence of multi-grid methods with transforming smoothers. Theory with applications to the Navier-Stokes equations. Numerische Mathematik 1990; 57(1):15-38.
    • (1990) Numerische Mathematik , vol.57 , Issue.1 , pp. 15-38
    • Wittum, G.1
  • 15
    • 39849102436 scopus 로고    scopus 로고
    • Discontinuous Galerkin Methods for Viscous Flow
    • Heidelberg
    • Kanschat G. Discontinuous Galerkin Methods for Viscous Flow. Habilitation Thesis, Heidelberg, 2004.
    • (2004) Habilitation Thesis
    • Kanschat, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.