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

Grigory Panasenko

Vol. 19 No. 3 (2014)
Special Issue: Proceedings of the 8th Conference on Applied Mathematics and Scientific Computing, Šibenik, Croatia, 2013

8th Conference on Applied Mathematics and Scientific Computing

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

Published 2014-11-23

Grigory Panasenko

Grigory Panasenko
University Jean Monnet

Submission of an original manuscript to the Mathematical Communications will be taken to mean that it represents original work not previously published, that it is not being considered elsewhere for publication; and, if accepted for publication, it will be published in print and online form and it will not be published elsewhere in the same form, for commercial purposes, in any language, without the consent of the publisher. The journal takes the stance that the publication of scholarly research is meant to disseminate knowledge and, in a not-for-profit regime, benefits neither publisher nor author financially. It sees itself as having an obligation to its authors and to society to make content available online now that the technology allows for such a possibility.

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.

PDF

Supplementary File(s)

LaTeX source