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

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/8910jw76g

Descriptions

Attribute Name	Values
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 robustness of the estimators developed with respect to the two-grid discretization and with respect to the parameters P. The theoretical and numerical results in this thesis apply to models of many important phenomena in fluid flow and transport in porous media. We demonstrate some applications with numerical simulations.
License	All rights reserved
Resource Type	Dissertation
Date Available	2011-06-09T20:32:56+00:00
Date Issued	2011-05-26
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2011
Advisor	Peszynska, Malgorzata
Committee Member	Ossiander, Mina Showalter, Ralph Niess, Margaret Bokil, Vrushali
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Rights Statement	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/21690

Parents:

This work has no parents.

In Collection:

Thumbnail	Title	Date Uploaded	Visibility	Actions
	KleinViviane2011.pdf	2017-08-02	Public	Download