標題: Monotone iterative methods for the adaptive finite element solution of semiconductor equations
作者: Chen, RC
Liu, JL
應用數學系
Department of Applied Mathematics
關鍵字: monotone iteration;drift-diffusion model;adaptive finite element
公開日期: 15-十月-2003
摘要: Picard, Gauss-Seidel, and Jacobi monotone iterative methods are presented and analyzed for the adaptive finite element solution of semiconductor equations in terms of the Slotboom variables. The adaptive meshes are generated by the 1-irregular mesh refinement scheme. Based on these unstructured meshes and a corresponding modification of the Scharfetter-Gummel discretization scheme, it is shown that the resulting finite element stiffness matrix is an M-matrix which together with the Shockley-Read-Hall model for the generation-recombination rate leads to an existence-uniqueness-comparison theorem with simple upper and lower solutions as initial iterates. Numerical results of simulations on a MOSFET device model are given to illustrate the accuracy and efficiency of the adaptive and monotone properties of the present methods. (C) 2003 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/S0377-0427(03)00538-7
http://hdl.handle.net/11536/27460
ISSN: 0377-0427
DOI: 10.1016/S0377-0427(03)00538-7
期刊: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume: 159
Issue: 2
起始頁: 341
結束頁: 364
顯示於類別:期刊論文


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