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oai:www.ideals.illinois.edu:2142/83346 2023-07-11 col_2142_5131 col_2142_14770 com_2142_5130 com_2142_3518 com_2142_234

Hjelmstad, Keith D. Prakash, Arun 2015-09-25T21:04:24Z 2015-09-25T21:04:24Z 10000-01-01 2007 2007 The present multi-time-step coupling method is based on a dual Schur domain decomposition method that uses Lagrange multipliers to enforce the continuity of the solution across the interfaces between the subdomains. The subdomains can be integrated with different time steps and/or time stepping schemes. The method was shown to be unconditionally stable, energy preserving and computationally very efficient. The multi-time-step method has also been extended for non-linear problems and a recursive coupling method was developed to couple multiple subdomains with multiple levels of time steps. An efficient parallelization based on message passing that uses a recursive tree topology for distributing subdomains between processors is also presented. Made available in DSpace on 2015-09-25T21:04:24Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3290351.pdf: 4468586 bytes, checksum: a372bd78b509dc5889bd34a8fbcd7116 (MD5) Previous issue date: 2007 Embargo set by: Seth Robbins for item 84627 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 183 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007. http://hdl.handle.net/2142/83346 (MiAaPQ)AAI3290351 eng Applied Mechanics Multi-Time-Step Domain Decomposition and Coupling Methods for Non-Linear Structural Dynamics text Civil Engineering Civil Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.