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Convergence of the domain decomposition finite element–boundary element coupling methods

✍ Scribed by M. El-Gebeily; Wael M. Elleithy; Husain J. Al-Gahtani

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
220 KB
Volume
191
Category
Article
ISSN
0045-7825

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✦ Synopsis

In this work, we analyze three available domain decomposition methods. We also establish the convergence conditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation parameter so that convergence is achieved with the minimum number of iterations. Several example problems are given for elaboration.

📜 SIMILAR VOLUMES

Coupling of a non-overlapping domain dec
Coupling of a non-overlapping domain decomposition method for a nodal finite element method with a boundary element method
✍ Y. Boubendir; A. Bendali; M. B. Fares 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 439 KB 👁 1 views

## Abstract Non‐overlapping domain decomposition techniques are used to solve the finite element equations and to couple them with a boundary element method. A suitable approach dealing with finite element nodes common to more than two subdomains, the so‐called cross‐points, endows the method with