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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Finite element approximation to initial-boundary value problems of the semiconductor device equations with magnetic influence
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by Jiang Zhu PDF
Math. Comp. 59 (1992), 39-62 Request permission

Abstract:

We shall consider Zlámal’s approach to the nonstationary equations of the semiconductor device theory under magnetic fields, with mixed boundary conditions. Owing to the reduced smoothness of the electric potential $\psi$ and carrier densities n and p caused by considering the mixed boundary conditions, we must use a nonstandard analysis for this procedure. Existence as well as uniqueness of the approximate solution is proved. The convergence rates obtained in this paper are slower than those previously obtained for pure Dirichlet or Neumann boundary conditions.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 59 (1992), 39-62
  • MSC: Primary 65N30; Secondary 65N12
  • DOI: https://doi.org/10.1090/S0025-5718-1992-1134742-3
  • MathSciNet review: 1134742