Convergence of the Neumann parallel scheme of the domain decomposition method for problems of frictionless contact between several elastic bodies

2010 ◽  
Vol 171 (4) ◽  
pp. 516-533 ◽  
Author(s):  
I. I. Dyyak ◽  
I. I. Prokopyshyn
Keyword(s):  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Frictionless Contact ◽  
Parallel Scheme ◽  
Elastic Bodies

A DOMAIN DECOMPOSITION METHOD FOR A BONDED STRUCTURE

1998 ◽  
Vol 08 (08) ◽  
pp. 1387-1402 ◽  
Author(s):  
G. GEYMONAT ◽  
F. KRASUCKI ◽  
D. MARINI ◽  
M. VIDRASCU
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Numerical Approximation ◽  
Domain Decomposition Method ◽  
Adhesive Layer ◽  
Optimal Error Estimates ◽  
Optimal Error ◽  
Elastic Bodies ◽  
Domain Decomposition Algorithm

We show that the transmission conditions through two elastic bodies bonded by a thin adhesive layer can be written as Robin-type conditions, well-suited for using a domain decomposition algorithm for which we prove convergence. Numerical approximation by means of finite element methods is also presented and analyzed. Convergence of the discrete algorithm is proven as well as optimal error estimates.

scholarly journals A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics

2020 ◽  
Vol 369 ◽  
pp. 113223
Author(s):  
Alice Lieu ◽  
Philippe Marchner ◽  
Gwénaël Gabard ◽  
Hadrien Bériot ◽  
Xavier Antoine ◽  
...  
Keyword(s):  
Finite Elements ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
High Order ◽  
Overlapping Schwarz
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