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Mathematical Communications, Vol. 19 No. 3, 2014.

Original scientific paper

Method of asymptotic partial domain decomposition for non-steady problems: heat equation on a thin structure

Grigory Panasenko ; Institute Camille Jordan UMR CNRS 5 208, University of Lyon, Saint-Etienne, France

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page 453-468

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Abstract

The non-steady heat equation is considered in thin structures. The asymptotic expansion of the solution is constructed. The error estimates for high order asymptotic approximations are proved. The method of asymptotic partial domain decomposition is justified for the non-steady heat equation.

Keywords

heat equation; thin structures; asymptotics; partial domain decomposition

Hrčak ID:

130110

URI

https://hrcak.srce.hr/130110

Publication date:

10.12.2014.

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