ON COMPARING AN AUGMENTED ALGEBRAIC VS A STAGGERED PREDICTOR TYPE IMPLICIT TIME INTEGRATION STABILIZATION TECHNIQUE OF COUPLED HYPERBOLIC PARABOLIC SYSTEMS/

Two stabilized implicit-implicit numerical solution techniques for sol ving strong, two-way coupled, linear, thermomechanics are compared. Th e first technique is a semi-algebraic, augmented procedure originally developed by Farhat et al. [An unconditionally stable staggered algori thm for transient finite element analysis of coupled thermoelastic pro blems. Computer Methods in Applied Mechanics and Engineering 1990]. Th e second solution technique is a time-stepping numerical solution base d upon a staggered predictor method similar to that of Zienkiewicz et al. [Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems. International Journal for Numerical Metho ds in Engineering, 1988, 26, 1039-1055]. First, the motivation for sol ving coupled systems using staggered finite element techniques is pres ented. Next, the development of the numerical stabilization for the tw o implicit-implicit staggered algorithms is discussed. This is then fo llowed by a comparison of numerical stability, consistency and efficie ncy for a specific class of thermoelastic problems. Finally, conclusio ns are drawn as to the effectiveness of solving parabolic/hyperbolic c oupled systems using stabilized implicit-implicit staggered procedures . (C) 1997 Published by Elsevier Science Ltd.