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Filtering by: Creator Costa Monteiro, Carlos Advisor Peszynska, Malgorzata

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:

AN ABSTRACT OF THE THESIS OF Timothy B. Costa for the degree
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

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AN ABSTRACT OF THE THESIS OF Timothy B. Costa for the degree
Modeling Flow and Transport at Pore Scale with Obstructions

Creator:

Umhoefer, Joseph G.

Abstract:

In this thesis we study mathematical and computational models for phenomena of flow and transport in porous media in the presence of changing pore scale geometries. The differential equations for the flow and transport models at Darcy scale involve the coefficients of permeability, porosity, and tortuosity which depend on the...

Resource Type:

Dissertation

Full Text:

constraints and additional localization functions. The second method we propose is a Markov Chain Monte Carlo