New model reduction technique for a class of parabolic partial differential equations (temperature distribution)

Author

Vajta, M.

Author_Institution

Dept. of Appl. Math., Twente Univ., Enschede, Netherlands

fYear

1993

fDate

1-3 Aug. 1993

Firstpage

311

Lastpage

315

Abstract

A model reduction (or lumping) technique for a class of parabolic-type partial differential equations is given, and its application is discussed. The frequency response of the temperature distribution in any multilayer solid is developed and given by a matrix expression. The distributed transfer functions (DTFs) between the surface variables and the ambient variables are given. The proposed method is based on the special high-frequency properties of these DTFs. The rational fraction expansion is compared with the lumping technique. Numerical examples from real-time applications are given.<>

Keywords

frequency response; heat conduction; partial differential equations; temperature distribution; transfer functions; ambient variables; distributed transfer functions; frequency response; heat conduction; lumping; model reduction; multilayer solid; parabolic partial differential equations; rational fraction expansion; surface variables; temperature distribution; Frequency response; Partial differential equations; Temperature; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems Engineering, 1991., IEEE International Conference on

Conference_Location

Dayton, OH, USA

Print_ISBN

0-7803-0173-0

Type

conf

DOI

10.1109/ICSYSE.1991.161141

Filename

161141