✦ LIBER ✦

Domain decomposition methods for parallel solution of shape sensitivity analysis problems

✍ Scribed by Manolis Papadrakakis; Yiannis Tsompanakis

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 376 KB
Volume: 44
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19990120)44:2<281::aid-nme512>3.0.co;2-1

No coin nor oath required. For personal study only.

✦ Synopsis

This paper presents the implementation of advanced domain decomposition techniques for parallel solution of large-scale shape sensitivity analysis problems. The methods presented in this study are based on the FETI method proposed by Farhat and Roux which is a dual domain decomposition implementation. Two variants of the basic FETI method have been implemented in this study: (i) FETI-1 where the rigid-body modes of the floating subdomains are computed explicitly. (ii) FETI-2 where the local problem at each subdomain is solved by the PCG method and the rigid-body modes are computed explicitly. A two-level iterative method is proposed particularly tailored to solve re-analysis type of problems, where the dual domain decomposition method is incorporated in the preconditioning step of a subdomain global PCG implementation. The superiority of this two-level iterative solver is demonstrated with a number of numerical tests in serial as well as in parallel computing environments.

📜 SIMILAR VOLUMES

Analysis of frictional contact problem u

Analysis of frictional contact problem using boundary element method and domain decomposition method

✍ F. Kosior; N. Guyot; G. Maurice 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 189 KB

In this paper, we study the bilateral or unilateral contact with Coulomb friction between two elastic solids, using a domain decomposition method coupled with the boundary element method. The decomposition method we have selected is the Schur complement method, a non-overlapping technique. It enable

Application of a parallel algebraic mult

Application of a parallel algebraic multigrid method for the solution of elastoplastic shell problems

✍ S. Meynen; A. Boersma; P. Wriggers 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 454 KB 👁 2 views

The algebraic multigrid method (AMG) can be applied as a preconditioner for the conjugate gradient method. Since no special hierarchical mesh structure has to be specified, this method is very well suited for the implementation into a standard finite element program. A general concept for the parall

A comparative study of Domain Embedding

A comparative study of Domain Embedding Methods for regularized solutions of inverse Stefan problems

✍ Jun Liu; Béatrice Guerrier 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 210 KB 👁 1 views

In this paper, various Domain Embedding Methods (DEMs) for an inverse Stefan problem are presented and compared. These DEMs extend the moving boundary domain to a larger, but simple and ÿxed domain. The original unknown interface position is then replaced by a new unknown, which can be a boundary te

A Parametric Sensitivity Analysis for th

A Parametric Sensitivity Analysis for the Solution of Extrema Evaluation Problems via a Dimensionality Reducing Approximation Method

✍ Tülin Kaman; Metin Demiralp 📂 Article 📅 2004 🏛 John Wiley and Sons ⚖ 136 KB 👁 1 views

## Abstract This work aims to apply High Dimensional Model Representation (HDMR) to the sensitivity coefficient determination of the solutions of a multivariate extrema problem. The derivations are made for general functional structure and the illustrative applications are related to structures whe

Solution method of the eigenmode problem

Solution method of the eigenmode problem for a generalized slot line by the domain product technique

✍ Vitaliy Chumachenko; Olexandr Krapyvny; Vladimir Zasovenko 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB 👁 2 views

In this paper, an algorithm for the numerical in¨estigation of the generalized slot line ha¨ing a polygonal cross section is proposed. Solution of the eigenmode problem is based on the method, called the domain product technique, which employs a Mathieu function expansion. A good agreement between t

An electrical circuit theoretical method

An electrical circuit theoretical method for time- and frequency- domain solutions of the structural mechanics problems

✍ A. Suat Ekinci; Abdullah Atalar 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB 👁 1 views

Shrinking device dimensions in integrated circuit technology made integrated circuits with millions of components a reality. As a result of this advance, electrical circuit simulators that can handle very large number of components have emerged. These programs use new circuit simulation techniques a