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Volumn 10, Issue 4, 2000, Pages 485-529

Discretization of anisotropic convection-diffusion equations, convective M-matrices and their iterative solution

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER AIDED NETWORK ANALYSIS; COMPUTER SIMULATION; CONTINUUM MECHANICS; CONVERGENCE OF NUMERICAL METHODS; DIFFUSION IN SOLIDS; ELECTRIC NETWORK SYNTHESIS; HEAT CONVECTION; INTEGRATED CIRCUIT LAYOUT; ITERATIVE METHODS; MATRIX ALGEBRA; SEMICONDUCTOR DEVICE MODELS;

EID: 0033667042     PISSN: 1065514X     EISSN: None     Source Type: Journal    
DOI: 10.1155/2000/98424     Document Type: Article
Times cited : (8)

References (38)
  • 2
    • 0001626911 scopus 로고
    • Some upwinding techniques for finite element approximations of convection-diffusion equations
    • Bank, R. E., Bügler, J. F., Fichtner, W. and Smith, R. K. (1990). Some upwinding techniques for finite element approximations of convection-diffusion equations. Numerische Mathematik, 58, 185-202.
    • (1990) Numerische Mathematik , vol.58 , pp. 185-202
    • Bank, R.E.1    Bügler, J.F.2    Fichtner, W.3    Smith, R.K.4
  • 3
    • 0039989084 scopus 로고    scopus 로고
    • Analysis of the finite volume Scharfetter-Gummel method for steady convection-diffusion equations
    • Bank, R. E., Coughran, W. M. and Cowsar, L. C. (1998). Analysis of the finite volume Scharfetter-Gummel method for steady convection-diffusion equations. Computing and Visualization in Science, 1 (3), 123-136.
    • (1998) Computing and Visualization in Science , vol.1 , Issue.3 , pp. 123-136
    • Bank, R.E.1    Coughran, W.M.2    Cowsar, L.C.3
  • 4
    • 0023401301 scopus 로고
    • Some error estimates for the box method
    • Bank, R. E. and Rose, D. J. (1987). Some error estimates for the box method. SIAM J. Numerical Analysis, 24(4), 777-787.
    • (1987) SIAM J. Numerical Analysis , vol.24 , Issue.4 , pp. 777-787
    • Bank, R.E.1    Rose, D.J.2
  • 6
    • 0033279293 scopus 로고    scopus 로고
    • The incomplete factorization multigraph algorithm
    • Bank, R. E. and Smith, R. K. (1999). The incomplete factorization multigraph algorithm. SIAM J. Scientific Computing, 20(4), 1349-1367.
    • (1999) SIAM J. Scientific Computing , vol.20 , Issue.4 , pp. 1349-1367
    • Bank, R.E.1    Smith, R.K.2
  • 8
    • 0006532689 scopus 로고    scopus 로고
    • A pliant method for anisotropic mesh generation
    • Sandia National Laboratories
    • Bossen, F. J. and Heckbert, P. S., A pliant method for anisotropic mesh generation. In: Proc. 5th International Meshing Roundtable, pp. 63-76. Sandia National Laboratories, 1996.
    • (1996) Proc. 5th International Meshing Roundtable , pp. 63-76
    • Bossen, F.J.1    Heckbert, P.S.2
  • 9
    • 0003288985 scopus 로고
    • A Multigrid Tutorial
    • Briggs, W. L. (1987). A Multigrid Tutorial. SIAM.
    • (1987) SIAM
    • Briggs, W.L.1
  • 11
    • 0000906086 scopus 로고
    • Optimal triangular mesh generation by coordinate transformation
    • July
    • D'Azevedo, E. F., Optimal triangular mesh generation by coordinate transformation. SIAM J. Scientific and Statistical Computation, 12(4), 755-786, July, 1991.
    • (1991) SIAM J. Scientific and Statistical Computation , vol.12 , Issue.4 , pp. 755-786
    • D'Azevedo, E.F.1
  • 13
    • 0029876860 scopus 로고    scopus 로고
    • Computing the field in proteins and channels
    • Eisenberg, R. S. (1996). Computing the field in proteins and channels. J. Membrane Biology, 150, 1-25.
    • (1996) J. Membrane Biology , vol.150 , pp. 1-25
    • Eisenberg, R.S.1
  • 16
    • 0031635793 scopus 로고    scopus 로고
    • A new galerkin framework for the drift-diffusion equation in semiconductors
    • Gatti, E., Micheletti, S. and Sacco, R. (1998). A new galerkin framework for the drift-diffusion equation in semiconductors. East-West J. Numer. Math., 6, 101-135.
    • (1998) East-West J. Numer. Math. , vol.6 , pp. 101-135
    • Gatti, E.1    Micheletti, S.2    Sacco, R.3
  • 18
    • 0024776669 scopus 로고
    • On first and second order box schemes
    • Hackbusch, W. (1989). On first and second order box schemes. Computing, 41, 277-296.
    • (1989) Computing , vol.41 , pp. 277-296
    • Hackbusch, W.1
  • 19
    • 0039236804 scopus 로고
    • Complexity bounds for regular finite difference and finite element grids
    • Hoffman, A. J., Martin, M. S. and Rose, D. J. (1973). Complexity bounds for regular finite difference and finite element grids. SIAM J. Numerical Analysis, 10, 364-369.
    • (1973) SIAM J. Numerical Analysis , vol.10 , pp. 364-369
    • Hoffman, A.J.1    Martin, M.S.2    Rose, D.J.3
  • 21
    • 0003328854 scopus 로고
    • Maximum Principle in Finite Element Models for Convection-Diffusion Phenomena
    • North-Holland/Kinokuniya
    • Ikeda, T., Maximum Principle in Finite Element Models for Convection-Diffusion Phenomena, Volume 4 of Lecture Notes in Numerical and Applied Analysis. North-Holland/Kinokuniya, 1983.
    • (1983) Lecture Notes in Numerical and Applied Analysis , vol.4
    • Ikeda, T.1
  • 22
    • 1642587932 scopus 로고
    • The rate of convergence of the extrapolated Gauss - Seidel iteration
    • Kahan, W. (1957). The rate of convergence of the extrapolated Gauss - Seidel iteration. J. ACM, 4, 521-522.
    • (1957) J. ACM , vol.4 , pp. 521-522
    • Kahan, W.1
  • 26
    • 0003455090 scopus 로고    scopus 로고
    • Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems
    • Springer Verlag
    • Roose, H. G., Stynes, M. and Tobiska, L., Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems. Springer Series in Computational Mathematics. Springer Verlag, 1996.
    • (1996) Springer Series in Computational Mathematics
    • Roose, H.G.1    Stynes, M.2    Tobiska, L.3
  • 27
    • 0015143675 scopus 로고
    • A note on consistent ordering and zero circulation
    • October
    • Rose, D. J., A note on consistent ordering and zero circulation. J. Association for Computing Machinery, 18(4), 573-575, October, 1971.
    • (1971) J. Association for Computing Machinery , vol.18 , Issue.4 , pp. 573-575
    • Rose, D.J.1
  • 28
    • 0002892530 scopus 로고
    • A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations
    • Read, R. C. Ed. Academic Press, New York
    • Rose, D. J., A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations. In: Read, R. C. Ed. Graph Theory and Computing. Academic Press, New York, 1972.
    • (1972) Graph Theory and Computing
    • Rose, D.J.1
  • 29
    • 84916389355 scopus 로고
    • Large-signal analysis of a silicon read diode oscillator
    • Scharfetter, D. and Gummel, H. (1973). Large-signal analysis of a silicon read diode oscillator. IEEE Solid-state Electron, 16, 64-77.
    • (1973) IEEE Solid-state Electron , vol.16 , pp. 64-77
    • Scharfetter, D.1    Gummel, H.2
  • 33
    • 1642619191 scopus 로고    scopus 로고
    • The box method for discretization of anisotropic elliptic operators in heart modeling equations
    • To be submitted
    • Shao, H., Henriquez, C. S. and Rose, D. J. (1999). The box method for discretization of anisotropic elliptic operators in heart modeling equations. Computing and Visualization in Science, To be submitted.
    • (1999) Computing and Visualization in Science
    • Shao, H.1    Henriquez, C.S.2    Rose, D.J.3
  • 34
    • 0000028545 scopus 로고
    • Anisotropic mesh transformations and optimal error control
    • Simpson, R. B. (1994). Anisotropic mesh transformations and optimal error control. Applied Numerical Mathematics, 14, 183-198.
    • (1994) Applied Numerical Mathematics , vol.14 , pp. 183-198
    • Simpson, R.B.1
  • 37
    • 0033295202 scopus 로고    scopus 로고
    • A cross-wind-block iterative method for convection-dominated problems
    • To appear
    • Wang, F. and Xu, J. (1999). A cross-wind-block iterative method for convection-dominated problems. SIAM J. Scientific Computing, To appear.
    • (1999) SIAM J. Scientific Computing
    • Wang, F.1    Xu, J.2
  • 38
    • 0033450269 scopus 로고    scopus 로고
    • A monotone finite element scheme for convection-diffusion equations
    • Published electronically on May 20, 1999
    • Xu, J. and Zikatanov, L. (1999). A monotone finite element scheme for convection-diffusion equations. Mathematics of Computation, Published electronically on May 20, 1999.
    • (1999) Mathematics of Computation
    • Xu, J.1    Zikatanov, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.