Domain Decomposition for the Drift - Diffusion Eqns
نویسندگان
چکیده
We present a domain decomposition method suitable for the drift-diiusion equations. The new scheme is applied to the linear systems resulting from Gummel's method and corresponds to a preconditioned conjugate gradient technique for the Schur complement of the linear systems. In designing the preconditioner two problems are addressed : anisotropic phenomena and large scale variations in the magnitude of the PDE coee-cients. In the process of developing an appropriate preconditioner, a number of diierent possibilities are explored and discussed. In this paper, we focus on interface precondi-tioning based on probing 3]. Additionally, a coarse grid preconditioner is developed using averaging techniques. Computational results are given to illustrate the diierent approaches.
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