The Generalized Finite Element Method With Global-Local Enrichment Functions
Kim, Dae-Jin
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/83405
Description
Title
The Generalized Finite Element Method With Global-Local Enrichment Functions
Author(s)
Kim, Dae-Jin
Issue Date
2009
Doctoral Committee Chair(s)
Duarte, C. Armando
Department of Study
Civil Engineering
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Civil
Language
eng
Abstract
In this work, we propose a procedure to build enrichment functions to overcome this limitation. It involves the solution of local boundary value problems using boundary conditions from a global problem defined on a coarse discretization. The local solutions are in turn used to enrich the global space using the partition of unity framework. This procedure allows the use of a coarse and fixed global mesh for any configuration of local features and this enables efficient solution of problems with multiple local features. It is also appealing for problems with localized nonlinearities since computationally intensive nonlinear iterations can be performed on coarse global meshes. The parallel computation of local solutions can be straightforwardly implemented and large problems can be efficiently solved in massively parallel machines with this approach.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
