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Sufficient Conditions for Converging Drift-Diffusion Discrete Systems. Application to The Finite Element Method (1996)

Nachaoui, Abdeljalil ; Nassif, Nabil R.

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 19 (1996), S. 33-51

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Details

ISSN: 0170-4214

Schlagwort(e): Engineering ; Numerical Methods and Modeling

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: In this paper we generalize the abstract results of Mock and Marcowich [13, 12] for convergence of discrete Van Roosbroeck systems [12, 13, 17], to the case when the solutions are typically in W1,4-ε and not in H2. 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 H1 norm are only O(h1/2). The techniques that are presented are broad and may be applied to other type of discretizations.

Zusätzliches Material: 1 Ill.

Materialart: Digitale Medien

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