Algorithmic symmetrization of Coulomb frictional problems using augmented Lagrangians (Q1310317)

The method of algorithmic symmetrization is derived from the augmented Lagrangian treatment of friction given by \textit{J. C. Simo} and \textit{T. A. Laursen} [Comput. Struct. 42, No. 1, 97-116 (1992; Zbl 0755.73085)] and exploits the iterative nature of the classical method of multipliers. More specifically, symmetrization is achieved by a modified multiplier update scheme in which all nonassociativity is removed from the solution phase and placed in the multiplier update phase. The result is an algorithm involving only the solution of symmetric equations, which maintains the attributes of an augmented Lagrangian method.