Non-linear transient heat transfer analysis based on lanczos co-ordinates using pseudo-force method

This paper describes a reduced finite element formulation for mildly non-li near transient heat transfer analysis problems based on the Lanczos algorit hm. in the proposed reduced formulation, all material non-linearities of ir radiation boundary elements are included using the pseudo-force method. Num erical time integration of the reduced formulation is conducted by the Gale rkin method. The results of numerical examples demonstrate the applicabilit y and the accuracy of the proposed method for transient heat transfer analy sis when restricted to mildly non-linear situations. In particular, the exa mple of a bridge under environmental thermal condition shows that the propo sed method is about 20 times faster, without loss of solution stability and accuracy, than a direct integration method for the unreduced formulation. Copyright (C) 1999 John Wiley & Sons, Ltd.