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oai:www.ideals.illinois.edu:2142/83162 2023-07-11 col_2142_5131 col_2142_14770 com_2142_5130 com_2142_3518 com_2142_234

Dennis Parsons Hales, Jason Dean 2015-09-25T21:03:10Z 2015-09-25T21:03:10Z 10000-01-01 2001 2001 Finite element contact is an important analysis tool that has received a significant amount of research attention. The fact that contact problems are geometrically non-smooth as well as algebraically non-linear makes them difficult to solve. Since the bulk of the work in a contact algorithm is associated with solving systems of linear equations, efficient linear solvers are attractive. The geometric multigrid method is an iterative linear equation solving method able to arrive at a solution after O(n) work. Enabling a multigrid method to work for a contact problem requires special treatment of the contact stiffness matrix on coarse meshes. This dissertation describes the mathematical formulation of finite element contact, the multigrid method, and how to couple finite element contact and the multigrid method. The dissertation also demonstrates the scalability of the resulting scheme on several parallel computers and gives results for non-trivial test problems. Made available in DSpace on 2015-09-25T21:03:10Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3023069.pdf: 6603695 bytes, checksum: 812c69c9c7480156ce3bdcc4466ec697 (MD5) Previous issue date: 2001 Embargo set by: Seth Robbins for item 84443 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 137 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001. http://hdl.handle.net/2142/83162 (MiAaPQ)AAI3023069 eng Engineering, Civil Implicit Finite Element Contact With a Multigrid Solver on Parallel Computers text Civil Engineering Civil Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.