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Filtering by: Creator McDaniel, Mina R. Advisor Peszynska, Malgorzata Committee Member Ossiander, Mina

Two-grid a-priori and a-posteriori error analysis for coupled elliptic and parabolic systems with applications to flow and transport problems

Creator:

Klein, Viviane

Abstract:

We develop several a-priori and a-posteriori error estimates for two-grid finite element discretization of coupled elliptic and parabolic systems with a set of parameters P. We present numerical results that verify the convergence order of the numerical schemes predicted by the a-priori estimates. We present numerical results that verify the...

Resource Type:

Dissertation

Full Text:

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 5.3 Illustration of a uniform refinement in 1D with r = 2. Plotted are the basis functions ψ1(x
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

Full Text:

my committee members Dr. Ralph Showalter, Dr. Robert Higdon, Dr. Mina Ossiander and Dr. Dorthe