A Dual Super-Element Domain Decomposition Approach for Parallel Nonlinear Finite Element Analysis

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Title: A Dual Super-Element Domain Decomposition Approach for Parallel Nonlinear Finite Element Analysis
Authors: Jokhio, GA
Izzuddin, BA
Item Type: Journal Article
Abstract: Copyright © Taylor & Francis Group, LLC 2015.This article presents a new domain decomposition method for nonlinear finite element analysis introducing the concept of dual partition super-elements. The method extends ideas from the displacement frame method and is ideally suited for parallel nonlinear static/dynamic analysis of structural systems. In the new method, domain decomposition is realized by replacing one or more subdomains in a parent system, each with a placeholder super-element, where the subdomains are processed separately as child partitions, each wrapped by a dual super-element along the partition boundary. The analysis of the overall system, including the satisfaction of equilibrium and compatibility at all partition boundaries, is realized through direct communication between all pairs of placeholder and dual super-elements. The proposed method has particular advantages for matrix solution methods based on the frontal scheme, and can be readily implemented for existing finite element analysis programs to achieve parallelization on distributed memory systems with minimal intervention, thus overcoming memory bottlenecks typically faced in the analysis of large-scale problems. Several examples are presented in this article which demonstrate the computational benefits of the proposed parallel domain decomposition approach and its applicability to the nonlinear structural analysis of realistic structural systems.
Issue Date: 15-May-2015
Date of Acceptance: 15-May-2015
URI: http://hdl.handle.net/10044/1/26715
DOI: https://dx.doi.org/10.1080/15502287.2015.1043163
ISSN: 1550-2295
Publisher: Taylor & Francis
Start Page: 188
End Page: 212
Journal / Book Title: International Journal of Computational Methods in Engineering Science and Mechanics
Volume: 16
Issue: 3
Copyright Statement: This is an Accepted Manuscript of an article published by Taylor & Francis Group in International Journal of Computational Methods in Engineering Science and Mechanics on 15 May 2015, available online at: http://www.tandfonline.com/10.1080/15502287.2015.1043163
Keywords: Domain Decomposition
Dual Super-Elements
Finite Element Analysis
Nonlinear Analysis
Parallel Processing
Distributed Memory Systems
Publication Status: Published
Appears in Collections:Faculty of Engineering
Civil and Environmental Engineering



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