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Analysis of domain decomposition methods for the simulation of charge transport in semiconductor structures with heterojunctions

Creator:

Costa, Timothy B.

Abstract:

Charge transport in a semiconductor structure with heterojunction is described by a multiscale partial differential equation model. This model can be used, e.g., for the design of more efficient solar cells. Phenomena at the heterojunction must be resolved at the angstrom scale while the size of the device is that...

Resource Type:

Masters Thesis

Full Text:

. (3.2) We seek to approximate u on (a, b) by values Uj at grid points xj , j = 1, ...,M , where a = x0
Hybrid Multiscale Methods with Applications to Semiconductors, Porous Media, and Materials Science

Creator:

Costa, Timothy B.

Abstract:

In this work we consider two multiscale applications with tremendous computational complexity at the lower scale. First, we examine a model for charge transport in semicon- ductor structures with heterojunction interfaces. Due to the complex physical phenomena at the interface, the model at the design scale is unable to adequately...

Resource Type:

Dissertation