M. Potierferry et al., TREATMENT OF STRONG NONLINEARITIES BY THE ASYMPTOTIC NUMERICAL-METHOD, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 324(3), 1997, pp. 171-177
In this paper we propose some regularization techniques to adapt the a
symptotic numerical methods (coupling of expansions into series with f
inite element discretization) to strongly non-linear problems. Applica
tions will be presented to elasticity problems with contact, dynamics
of viscous fluids and hydraulic swelling of a viscoplastic plate.