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Sufficient Conditions for Converging Drift-Diffusion Discrete Systems. Application to The Finite Element Method

✍ Scribed by Abdeljalil Nachaoui; Nabil R. Nassif

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 789 KB
Volume: 19
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19960110)19:1<33::aid-mma759>3.0.co;2-h

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✦ Synopsis

In this paper we generalize the abstract results of Mock and Marcowich [13, 121 for convergence of discrete Van Roosbroeck systems [12,13,17], to the case when the solutions are typically in W 1,4-c and not in H'.

These conditions are verified on finite element discretizations. Error estimates are derived when the solution is unique. Due to the singularity at the flat angles, these estimates in the H' norm are only O(h''*). The techniques that are presented are broad and may be applied to other type of discretizations.

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