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Title:Stabilized Finite Elements and a Domain Decomposition Method for First-Order Transient Problems
Author(s):Nakshatrala, Kalyana Babu
Doctoral Committee Chair(s):Keith J. Hjelmstad
Department / Program:Civil and Environmental Engineering
Discipline:Civil and Environmental Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Engineering, Civil
Abstract:In the third part, a novel domain decomposition method for first-order transient nonlinear problems is presented. To the author's knowledge the proposed method is the only known robust domain decomposition method for transient problems that enables arbitrary numeric schemes to be coupled with different time steps in each subdomain, which is a highly desirable feature in the multiscale and multiphysics simulations. One of the advantages of the method is that existing software and numerical techniques can be used to solve each subdomain separately. The proposed coupling method provides a powerful approach not only to solve large-scale problems very efficiently, but also to solve small-scale problems wherein multiple scales in the response demand the use of different schemes in different regions.
Issue Date:2007
Description:144 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.
Other Identifier(s):(MiAaPQ)AAI3269989
Date Available in IDEALS:2015-09-25
Date Deposited:2007

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