CaltechAUTHORS
  A Caltech Library Service

Unconditionally stable concurrent procedures for transient finite element analysis

Ortiz, Michael and Nour-Omid, Bahram (1986) Unconditionally stable concurrent procedures for transient finite element analysis. Computer Methods in Applied Mechanics and Engineering, 58 (2). pp. 151-174. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20180105-150834527

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20180105-150834527

Abstract

A new class of algorithms for transient finite element analysis which is amenable to an efficient implementation in parallel computers is proposed. The suitability of the method for parallel computation stems from the fact that, given an arbitrary partition of the finite element mesh, each subdomain in the partition can be processed over a time step independently and simultaneously with the rest. Both element-by-element and coarse partitions of the mesh are discussed. For the former, the proposed algorithms are shown to have the structure of an explicit scheme. In particular, no global equation solving effort is involved in the update procedure. However, in contrast to explicit schemes the proposed algorithms are shown to be unconditionally stable over a certain range of the algorithmic parameters. In structural dynamics problems, good accuracy is obtained with a constant time step integration. For heat conduction problems accuracy limitations suggest the use of a step-changing technique. When this is done, numerical tests indicate the good behavior of the method. The case in which the mesh is partitioned into a small number of subdomains, typically as many as processors in the computer, is also explored in detail. Good accuracy is obtained over a wide range of time steps. Finally, extensions to second- and higher-order accuracy methods are discussed.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/0045-7825(86)90094-0DOIArticle
https://www.sciencedirect.com/science/article/pii/0045782586900940PublisherArticle
Additional Information:© 1986 Elsevier. Received 17 June 1985. Revised manuscript received 20 December 1985. We wish to thank Dr. K.C. Park for his active interest and helpful discussions.
Group:GALCIT
Record Number:CaltechAUTHORS:20180105-150834527
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180105-150834527
Official Citation:Michael Ortiz, Bahram Nour-Omid, Unconditionally stable concurrent procedures for transient finite element analysis, In Computer Methods in Applied Mechanics and Engineering, Volume 58, Issue 2, 1986, Pages 151-174, ISSN 0045-7825, https://doi.org/10.1016/0045-7825(86)90094-0. (http://www.sciencedirect.com/science/article/pii/0045782586900940)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84142
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:08 Jan 2018 21:15
Last Modified:08 Jan 2018 21:15

Repository Staff Only: item control page