Dual analysis for heat conduction problems by finite elements

✍ Scribed by B. M. Fraeijs De Veubeke; M. A. Hugge

• Publisher: John Wiley and Sons
• Year: 1972
• Tongue: English
• Weight: 748 KB
• Volume: 5
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620050107

✦ Synopsis

Abstract

An alternative approach to the usual finite element treatment of steady‐state temperature problems is presented, using approximations for the field of the dual variables.

The appropriate extremum principle is established and its minimization is discussed in connection with a plane triangular finite element process. Original heat flow elements are derived: in conjunction with temperature elements, they enable dual analysis of a given structure and an important estimate of the convergence to the true solution by upper and lower bounds to the dissipation function, as illustrated by means of several examples.