Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure-Reference-Cited by-同舟云学术

Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure

Published:2016-07-18 Issue:05 Volume:18 Page:1550057
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Gaudiello Antonio¹,Panasenko Grigory²,Piatnitski Andrey³⁴

Affiliation:

1. DIEI, Università degli Studi di Cassino e del Lazio Meridionale, via G. Di Biasio 43, 03043 Cassino (FR), Italy

2. Institut Camille Jordan UMR, CNRS 5208, Université de Lyon/Université de Saint Etienne, 23, rue P. Michelon, 42023 St. Etienne, France

3. Narvik University College, HiN, Postbox 385, 8505 Narvik, Norway

4. P. N. Lebedev Physical Institute RAS, 53 Leninski Prospect, Moscow 119991, Russia

Abstract

In the paper, we consider the Dirichlet boundary value problem for the biharmonic equation defined in a thin T-like shaped structure. Our goal is to construct an asymptotic expansion of its solution. We provide error estimates and also introduce and justify the asymptotic partial domain decomposition for this problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199715500571

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