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

作者：Gaudiello Antonio^*; Panasenko Grigory; Piatnitski Andrey

来源：Communications in Contemporary Mathematics, 2016, 18(5): 1550057.

DOI：10.1142/S0219199715500571

• Biharmonic equation
• thin structure
• asymptotic expansion
• asymptotic partial domain decomposition

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.

• 出版日期2016-10