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.

Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure / Gaudiello, Antonio; Panasenko, Grigory; Piatnitski, Andrey. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 18:05(2016). [10.1142/S0219199715500571]

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

Gaudiello Antonio;
2016

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.
2016
Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure / Gaudiello, Antonio; Panasenko, Grigory; Piatnitski, Andrey. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 18:05(2016). [10.1142/S0219199715500571]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/740039
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