Multi-Time-Step Domain Decomposition and Coupling Methods for Non-Linear Structural Dynamics
Prakash, Arun
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https://hdl.handle.net/2142/83346
Description
Title
Multi-Time-Step Domain Decomposition and Coupling Methods for Non-Linear Structural Dynamics
Author(s)
Prakash, Arun
Issue Date
2007
Doctoral Committee Chair(s)
Hjelmstad, Keith D.
Department of Study
Civil Engineering
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Language
eng
Abstract
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.
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