A domain decomposition method for a bonded structure

Citation
G. Geymonat et al., A domain decomposition method for a bonded structure, MATH MOD M, 8(8), 1998, pp. 1387-1402
Citations number
21
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN journal
02182025 → ACNP
Volume
8
Issue
8
Year of publication
1998
Pages
1387 - 1402
Database
ISI
SICI code
0218-2025(199812)8:8<1387:ADDMFA>2.0.ZU;2-K
Abstract
We show that the transmission conditions through two elastic bodies bonded by a thin adhesive layer can be written as Robin-type conditions, well-suit ed for using a domain decomposition algorithm for which we prove convergenc e. Numerical approximation by means of finite element methods is also prese nted and analyzed. Convergence of the discrete algorithm is proven as well as optimal error estimates.