Exponentially fitted shape functions for advection-dominated flow problems in two dimensions

被引:6
|
作者
Sacco, R [1 ]
机构
[1] POLITECN MILAN,DIPARTIMENTO MATEMAT,I-20133 MILAN,ITALY
关键词
exponential fitting approximation; advection-diffusion equations; semiconductor device modelling;
D O I
10.1016/0377-0427(95)00149-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We sketch out the basic properties of three novel exponentially fitted shape functions that generalize to two-dimensional triangular elements the one-dimensional functions used in the well-known Scharfetter-Gummel method. This scheme is widely employed in the finite element approximation of the drift-diffusion equations arising in semiconductor device modelling.
引用
收藏
页码:161 / 165
页数:5
相关论文
共 50 条
  • [41] A POD-based ROM strategy for the prediction in time of advection-dominated problems
    Solan-Fustero, P.
    Gracia, J. L.
    Navas-Montilla, A.
    Garcia-Navarro, P.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 471
  • [42] Transition radius from cooling-dominated to advection-dominated regimes in two temperature disks
    Kato, S
    Nakamura, KE
    PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN, 1998, 50 (06) : 559 - 566
  • [43] TIME-SPLITTING FOR ADVECTION-DOMINATED PARABOLIC PROBLEMS IN ONE SPACE VARIABLE
    WHEELER, MF
    KINTON, WA
    DAWSON, CN
    COMMUNICATIONS IN APPLIED NUMERICAL METHODS, 1988, 4 (03): : 413 - 423
  • [44] Constructing ILU preconditioners for advection-dominated problems using graph neural networks
    Yusuf, Soha
    Hicken, Jason
    Pan, Shaowu
    AIAA AVIATION FORUM AND ASCEND 2024, 2024,
  • [45] A generalized solution for advection-dominated accretion flow, standard disc, and slim disc
    Liu, Mingjun
    Liu, B. F.
    Wang, Yilong
    Cheng, Huaqing
    Yuan, Weimin
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2025, 539 (01) : 69 - 81
  • [46] Dynamics of the transition from a thin accretion disk to an advection-dominated accretion flow
    Manmoto, T
    Kato, S
    Nakamura, KE
    Narayan, R
    ASTROPHYSICAL JOURNAL, 2000, 529 (01): : 127 - 137
  • [47] Time dependence of advection-dominated accretion flow around a rotating compact object
    Habibi, Fahimeh
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2020, 498 (04) : 5952 - 5959
  • [48] Transition from a Shakura-Sunyaev disk to an advection-dominated accretion flow
    Pan, LB
    Lu, JF
    Gu, WM
    CHINESE ASTRONOMY AND ASTROPHYSICS, 2002, 26 (01) : 7 - 13
  • [49] VLBA continuum observations of NGC 4258: Constraints on an advection-dominated accretion flow
    Herrnstein, JR
    Greenhill, LJ
    Moran, JM
    Diamond, PJ
    Inoue, M
    Nakai, N
    Miyoshi, M
    ASTROPHYSICAL JOURNAL, 1998, 497 (02): : L69 - L73
  • [50] An investigation of Eulerian-Lagrangian methods for solving heterogeneous advection-dominated transport problems
    Ruan, F
    McLaughlin, D
    WATER RESOURCES RESEARCH, 1999, 35 (08) : 2359 - 2373