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Volumn 15, Issue 2, 1999, Pages 133-150

A nonconforming exponentially fitted finite element method for two-dimensional drift-diffusion models in semiconductors

Author keywords

Advection diffusion equations; Exponential fitting; Nonconforming finite elements; Semiconductors

Indexed keywords


EID: 0038595335     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199903)15:2<133::AID-NUM1>3.0.CO;2-N     Document Type: Article
Times cited : (14)

References (39)
  • 4
    • 0020180710 scopus 로고
    • Numerical methods for semiconductor device simulation
    • R. E. Bank, D. J. Rose, and W. Fichtner, Numerical methods for semiconductor device simulation, IEEE Trans. on Electr. Dev. ED-30 (1983), 1031.
    • (1983) IEEE Trans. on Electr. Dev. , vol.ED-30 , pp. 1031
    • Bank, R.E.1    Rose, D.J.2    Fichtner, W.3
  • 5
    • 0001626911 scopus 로고
    • Some upwinding techniques for finite element approximation of convection-diffusion equations
    • R. E. Bank, J. F. Burgler, W. Fichtner, and R. K. Smith, Some upwinding techniques for finite element approximation of convection-diffusion equations, Numer. Math. 58 (1990), 185.
    • (1990) Numer. Math. , vol.58 , pp. 185
    • Bank, R.E.1    Burgler, J.F.2    Fichtner, W.3    Smith, R.K.4
  • 6
    • 84916389355 scopus 로고
    • Large-signal analysis of a silicon read diode oscillator
    • D. L. Scharfetter and H. K. Gummel, Large-signal analysis of a silicon read diode oscillator, IEEE Trans. on Electr. Dev. ED-16 (1969), 64.
    • (1969) IEEE Trans. on Electr. Dev. , vol.ED-16 , pp. 64
    • Scharfetter, D.L.1    Gummel, H.K.2
  • 7
    • 0028007684 scopus 로고
    • Ten ways to generate the Il'in and related schemes
    • H. G. Roos, Ten ways to generate the Il'in and related schemes, J. Comp. Appl. Math. 51 (1994), 43.
    • (1994) J. Comp. Appl. Math. , vol.51 , pp. 43
    • Roos, H.G.1
  • 8
    • 77957217526 scopus 로고
    • A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem
    • J. J. H. Miller and S. Wang, A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem, IMA J. Num. An. 14 (1994), 257.
    • (1994) IMA J. Num. An. , vol.14 , pp. 257
    • Miller, J.J.H.1    Wang, S.2
  • 9
    • 84966240353 scopus 로고
    • A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions
    • E. O'Riordan and M. Stynes, A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions, Math. Comp. 57 (1991), 47.
    • (1991) Math. Comp. , vol.57 , pp. 47
    • O'Riordan, E.1    Stynes, M.2
  • 10
    • 0002920687 scopus 로고
    • An analysis of some exponentially fitted finite element methods for singularly perturbed elliptic problems
    • J. J. Miller (Editor), Boole Press, Dublin
    • E. O'Riordan and M. Stynes, "An analysis of some exponentially fitted finite element methods for singularly perturbed elliptic problems," Computational methods for boundary and interior layers in several dimensions, J. J. Miller (Editor), Boole Press, Dublin, 1991, p. 138.
    • (1991) Computational Methods for Boundary and Interior Layers in Several Dimensions , pp. 138
    • O'Riordan, E.1    Stynes, M.2
  • 11
    • 0029310927 scopus 로고
    • The patch test as a validation of a new finite element for the solution of convection-diffusion equations
    • R. Sacco, E. Gatti, and L. Gotusso, The patch test as a validation of a new finite element for the solution of convection-diffusion equations, Comp. Meth. Appl. Mech. Eng. 124 (1995), 113.
    • (1995) Comp. Meth. Appl. Mech. Eng. , vol.124 , pp. 113
    • Sacco, R.1    Gatti, E.2    Gotusso, L.3
  • 12
    • 0031191437 scopus 로고    scopus 로고
    • A novel exponentially fitted triangular finite element method for an advection-diffusion problem with boundary layers
    • S. Wang, A novel exponentially fitted triangular finite element method for an advection-diffusion problem with boundary layers, J. Comput. Phys. 134 (1997), 253.
    • (1997) J. Comput. Phys. , vol.134 , pp. 253
    • Wang, S.1
  • 13
    • 0031994213 scopus 로고    scopus 로고
    • Finite element methods for convection-diffusion problems using exponential splines on triangles
    • R. Sacco and M. Stynes, Finite element methods for convection-diffusion problems using exponential splines on triangles, Comput. Math, with Appl. 35 (1998), 35.
    • (1998) Comput. Math, with Appl. , vol.35 , pp. 35
    • Sacco, R.1    Stynes, M.2
  • 14
    • 0000617339 scopus 로고
    • Two-dimensional exponential fitting and applications to drift-diffusion models
    • F. Brezzi, L. D. Marini, and P. Pietra, Two-dimensional exponential fitting and applications to drift-diffusion models, SIAM J. Numer. Anal. 26 (1989), 1342.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1342
    • Brezzi, F.1    Marini, L.D.2    Pietra, P.3
  • 16
    • 0001429680 scopus 로고    scopus 로고
    • Mixed finite volume methods for semiconductor device simulation
    • R. Sacco and F. Saleri, Mixed finite volume methods for semiconductor device simulation, Numer. Meth. Part. Diff. Eq. 13 (1997), 215.
    • (1997) Numer. Meth. Part. Diff. Eq. , vol.13 , pp. 215
    • Sacco, R.1    Saleri, F.2
  • 17
    • 0031388772 scopus 로고    scopus 로고
    • Stabilized mixed finite volume methods for convection-diffusion problems
    • R. Sacco and F. Saleri, Stabilized mixed finite volume methods for convection-diffusion problems, East-West J. Numer. Math. 4 (1997), 291.
    • (1997) East-West J. Numer. Math. , vol.4 , pp. 291
    • Sacco, R.1    Saleri, F.2
  • 19
    • 0000774381 scopus 로고    scopus 로고
    • Finite volume methods on Voronoi meshes
    • I. D. Mishev, Finite volume methods on Voronoi meshes, Numer. Meth. Part. Diff. Eq. 14 (1998), 193.
    • (1998) Numer. Meth. Part. Diff. Eq. , vol.14 , pp. 193
    • Mishev, I.D.1
  • 20
    • 0001854829 scopus 로고
    • A comparison of uniformly convergent difference schemes for two-dimensional convection-diffusion problems
    • A. Hegarty, E. O'Riordan, and M. Stynes, A comparison of uniformly convergent difference schemes for two-dimensional convection-diffusion problems. Jour. Comp. Phys. 105 (1993), 24.
    • (1993) Jour. Comp. Phys. , vol.105 , pp. 24
    • Hegarty, A.1    O'Riordan, E.2    Stynes, M.3
  • 22
    • 0031635793 scopus 로고    scopus 로고
    • A new galerkin framework for the drift-diffusion equation in semiconductors
    • E. Gatti, S. Micheletti, and R. Sacco, A new Galerkin framework for the drift-diffusion equation in semiconductors, East-West J. Numer. Math. 6 (1998) 101.
    • (1998) East-West J. Numer. Math. , vol.6 , pp. 101
    • Gatti, E.1    Micheletti, S.2    Sacco, R.3
  • 23
    • 85033968491 scopus 로고    scopus 로고
    • A monotone finite element method for convection-diffusion equations
    • to appear
    • J. Xu and L. Zikatanov, A monotone finite element method for convection-diffusion equations, Math. Comp., to appear.
    • Math. Comp.
    • Xu, J.1    Zikatanov, L.2
  • 31
    • 0040367892 scopus 로고
    • A nonconforming Petrov-Galerkin finite element method for stationary convection-diffusion equations
    • R. Sacco, A nonconforming Petrov-Galerkin finite element method for stationary convection-diffusion equations, Ist. Lomb. Sc. e Lett. (Rend. Sc.), A 128 (1995), 223.
    • (1995) Ist. Lomb. Sc. e Lett. (Rend. Sc.), A , vol.128 , pp. 223
    • Sacco, R.1
  • 32
    • 85033966689 scopus 로고    scopus 로고
    • Analysis of the finite-volume Scharfetter-Gummel method for steady convection diffusion equation
    • to appear
    • R. E. Bank, W. M. Coughran, and L. Cowsar, Analysis of the finite-volume Scharfetter-Gummel method for steady convection diffusion equation, Comput. Vis. Sci., to appear.
    • Comput. Vis. Sci.
    • Bank, R.E.1    Coughran, W.M.2    Cowsar, L.3
  • 33
    • 0015655220 scopus 로고
    • Computer-aided two-dimensional analysis of bipolar transistors
    • J. W. Slotboom, Computer-aided two-dimensional analysis of bipolar transistors, IEEE Trans. on Electr. Dev. ED-20 (1973), 669.
    • (1973) IEEE Trans. on Electr. Dev. , vol.ED-20 , pp. 669
    • Slotboom, J.W.1
  • 34
  • 38
    • 0028483749 scopus 로고
    • Special finite element methods for a class of second order elliptic problems with rough coefficients
    • I. Babuska, G. Caloz, and J. E. Osborn, Special finite element methods for a class of second order elliptic problems with rough coefficients, SIAM J. Numer. Anal. 31 (1994), 945.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 945
    • Babuska, I.1    Caloz, G.2    Osborn, J.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.