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Filtering by: Committee Member Bokil, Vrushali Advisor Peszynska, Malgorzata

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
Mathematical treatment and simulation of methane hydrates and adsorption models

Creator:

Medina, Francis Patricia

Abstract:

In this dissertation we develop mathematical treatment for two important applications: (i) evolution of methane in coalbeds with the associated phenomena of adsorption, and (ii) formation of methane hydrates in seabed. We use simplified models for (i) and (ii) since we are more interested in qualitative properties of the solutions...

Resource Type:

Dissertation
A heterogeneous flow numerical model based on domain decomposition methods

Creator:

Zhang, Yi

Abstract:

In this study, a heterogeneous flow model is proposed based on a non-overlapping domain decomposition method. The model combines potential flow and incompressible viscous flow. Both flow domains contain a free surface boundary. The heterogeneous domain decomposition method is formulated following the Dirichlet-Neumann method. Both an implicit scheme and an...

Resource Type:

Masters Thesis