WIT Press


Stability Investigation For The Inverse Heat Conduction Problems

Price

Free (open access)

Paper DOI

10.2495/HT980101

Volume

20

Pages

10

Published

1998

Size

593 kb

Author(s)

Krzysztof Grysa & Artur Maciqg

Abstract

Discretisation with respect to time changes the heat conduction equation into a system of Helmholtz equations. An error introduced by such a simplification is investigated. For the inverse problems the constrains for a time step are considered in the case of two inaccurate internal responses. Nomographs helping to choose a proper time step for inverse problems with two internal responses are presented. 1 Discretisation Consider the heat conduction equation in dimensionless form: with initial and boundary conditions as follows: r(*,0) = %(x) , xeQ (2) r(^,f)=7^,f) , J%E6Q , fe(0,co) (3a) or

Keywords