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Volumn 67, Issue 4, 2006, Pages 553-577

An optimal weighted upwinding covolume method on non-standard grids for convection-diffusion problems in 2D

Author keywords

Convection diffusion; Covolume method; High order accuracy; Non standard covolume; Optimal weighted factor; Upwinding

Indexed keywords

NUMERICAL METHODS; OPTIMIZATION; OSCILLATIONS; PROBLEM SOLVING;

EID: 33746104945     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1641     Document Type: Article
Times cited : (22)

References (16)
  • 2
    • 0003410201 scopus 로고
    • Media American Elsevier Publishing Company: New York
    • Bear J. Dynamics of Fluids in Porous Media. American Elsevier Publishing Company: New York, 1972.
    • (1972) Dynamics of Fluids in Porous
    • Bear, J.1
  • 3
    • 0035067733 scopus 로고    scopus 로고
    • An approximation to miscible fluid flows in porous media with point sources and sinks by an Eulerian-Lagrangian localized adjoint method and mixed finite element methods
    • Wang H, Liang D, Ewing RE, Lyons SL, Qin G. An approximation to miscible fluid flows in porous media with point sources and sinks by an Eulerian-Lagrangian localized adjoint method and mixed finite element methods. SIAM Journal on Scientific Computing 2000; 22:561-581.
    • (2000) SIAM Journal on Scientific Computing , vol.22 , pp. 561-581
    • Wang, H.1    Liang, D.2    Ewing, R.E.3    Lyons, S.L.4    Qin, G.5
  • 4
    • 0019071052 scopus 로고
    • A new finite element formulation for convection-diffusion problems
    • Baliga BR, Patankar SV. A new finite element formulation for convection-diffusion problems. Numerical Heat Transfer 1980; 3:393-409.
    • (1980) Numerical Heat Transfer , vol.3 , pp. 393-409
    • Baliga, B.R.1    Patankar, S.V.2
  • 5
    • 0026138971 scopus 로고
    • The finite volume element method for diffusion equations on general triangulations
    • Cai Z, Mandel J, McCormick SF. The finite volume element method for diffusion equations on general triangulations. SIAM Journal on Numerical Analysis 1991; 28:392-402.
    • (1991) SIAM Journal on Numerical Analysis , vol.28 , pp. 392-402
    • Cai, Z.1    Mandel, J.2    McCormick, S.F.3
  • 6
    • 0031539622 scopus 로고    scopus 로고
    • Analysis and convergence of a covolume method for the generalized Stokes problem
    • Chou SH. Analysis and convergence of a covolume method for the generalized Stokes problem. Mathematics of Computation 1997; 66:85-104.
    • (1997) Mathematics of Computation , vol.66 , pp. 85-104
    • Chou, S.H.1
  • 7
    • 0000370771 scopus 로고
    • A control volume finite element approach to NAPL groundwater contamination
    • Forsyth PA. A control volume finite element approach to NAPL groundwater contamination. SIAM Journal on Scientific and Statistical Computation 1991; 12:1029-1057.
    • (1991) SIAM Journal on Scientific and Statistical Computation , vol.12 , pp. 1029-1057
    • Forsyth, P.A.1
  • 8
    • 0040098972 scopus 로고
    • A modified upwind scheme for convective transport equations and the use of conjugate gradient method for the solution of non-symmetric systems of equations
    • Axelsson O, Gustafsson I. A modified upwind scheme for convective transport equations and the use of conjugate gradient method for the solution of non-symmetric systems of equations. Journal of Internal Mathematics and Applications 1979; 23:867-889.
    • (1979) Journal of Internal Mathematics and Applications , vol.23 , pp. 867-889
    • Axelsson, O.1    Gustafsson, I.2
  • 9
    • 0033295134 scopus 로고    scopus 로고
    • Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems
    • Chou SH, Kwak DY, Vassilevski PS. Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. SIAM Journal on Scientific Computing 1999; 21:145-165.
    • (1999) SIAM Journal on Scientific Computing , vol.21 , pp. 145-165
    • Chou, S.H.1    Kwak, D.Y.2    Vassilevski, P.S.3
  • 10
    • 0041638560 scopus 로고    scopus 로고
    • Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions
    • Gallouet T, Herbin R, Vignal MH. Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions. SIAM Journal on Numerical Analysis 2000; 37: 1935-1972.
    • (2000) SIAM Journal on Numerical Analysis , vol.37 , pp. 1935-1972
    • Gallouet, T.1    Herbin, R.2    Vignal, M.H.3
  • 13
    • 0031499994 scopus 로고    scopus 로고
    • Analysis of a cell-vertex finite volume method for convection-diffusion problems
    • Morton KW, Stynes M, Suli E. Analysis of a cell-vertex finite volume method for convection-diffusion problems. Mathematics of Computation 1997; 66:1389-1406.
    • (1997) Mathematics of Computation , vol.66 , pp. 1389-1406
    • Morton, K.W.1    Stynes, M.2    Suli, E.3
  • 14
    • 0000850660 scopus 로고    scopus 로고
    • Mixed covolume method on rectangular grids for elliptic problems
    • Chou SH, Kwak DY. Mixed covolume method on rectangular grids for elliptic problems. SIAM Journal on Numerical Analysis 2000; 37:758-771.
    • (2000) SIAM Journal on Numerical Analysis , vol.37 , pp. 758-771
    • Chou, S.H.1    Kwak, D.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.