The Generalized Finite Element Method With Global-Local Enrichment Functions

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Civil Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Kim, Dae-Jin

Contributors dc:contributor

• Duarte, C. Armando

• Engineering, Civil

Language dc:language

eng

Identifier

(MiAaPQ)AAI3392088

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/83405