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

Grigory Panasenko

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.

Full Text: PDF

ISSN: 1331-0623 (Print), 1848-8013 (Online)