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Duarte, C. Armando Kim, Dae-Jin 2015-09-25T21:04:42Z 2015-09-25T21:04:42Z 10000-01-01 2009 2009 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. Made available in DSpace on 2015-09-25T21:04:42Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3392088.pdf: 2909427 bytes, checksum: 93871f4cd8099f3f5f964e7ae27674f6 (MD5) Previous issue date: 2009 Embargo set by: Seth Robbins for item 84686 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 153 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009. http://hdl.handle.net/2142/83405 (MiAaPQ)AAI3392088 eng Engineering, Civil The Generalized Finite Element Method With Global-Local Enrichment Functions text Civil Engineering Civil Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.