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Stationary Semiconductor Device Equations
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The static semiconductor device problem is treated in an applied mathematics way. Qualitative properties, e.g. existence and uniqueness of solutions, and quantitative properties, particularly the structure of steady state solutions, are analysed. Physical interpretations of the mathematical results are given. Also, these results serve as a basis for the derivation and convergence analysis of numerical discretisation techniques. TOC:Introduction.- Mathematical Modeling of Semiconductor Devices.- Analysis of the Basic Stationary Semiconductor Device Equations.- Singular Perturbation Analysis of the Stationary Semiconductor Device Problem.- Discretisation of the Stationary Device Problem.- Numerical Simulation A Case Study.- Appendix: Notation of Physical Quantities; Mathematical Notation.-
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