A fast and robust iterative solver for nonlinear contact problems using a primal-dual active set strategy and algebraic multigrid

2006 ◽  
Vol 69 (3) ◽  
pp. 524-543 ◽  
Author(s):  
S. Brunssen ◽  
F. Schmid ◽  
M. Schäfer ◽  
B. Wohlmuth
Keyword(s):  
Contact Problems ◽  
Algebraic Multigrid ◽  
Iterative Solver ◽  
Active Set ◽  
Active Set Strategy ◽  
Nonlinear Contact ◽  
Primal Dual

scholarly journals Inexact primal–dual active set method for solving elastodynamic frictional contact problems

2021 ◽  
Vol 82 ◽  
pp. 36-59
Author(s):  
Stéphane Abide ◽  
Mikaël Barboteu ◽  
Soufiane Cherkaoui ◽  
David Danan ◽  
Serge Dumont
Keyword(s):  
Frictional Contact ◽  
Contact Problems ◽  
Active Set ◽  
Active Set Method ◽  
Primal Dual

A primal-dual active set method for solving multi-rigid-body dynamic contact problems

2017 ◽  
Vol 23 (3) ◽  
pp. 489-503 ◽  
Author(s):  
Mikaël Barboteu ◽  
Serge Dumont
Keyword(s):  
Local Level ◽  
Mathematical Problem ◽  
Local Treatment ◽  
Contact Problems ◽  
Dynamic Contact ◽  
Contact Dynamics ◽  
Active Set ◽  
Contact Conditions ◽  
Type Method ◽  
Primal Dual

In this work, an active set type method is considered in order to solve a mathematical problem that describes the frictionless dynamic contact of a multi-body rigid system, the so-called nonsmooth contact dynamics (NSCD) problem. Our aim, here, is to present the local treatment of contact conditions by an active set type method dedicated to NSCD and to carry out a comparison with the various well-known methods based on the bipotential theory and the augmented Lagrangian theory. After presenting the mechanical formulation of the NSCD and the resolution of the global problem concerning the equations of motion, we focus on the local level devoted to the resolution of the contact law. Then we detail the numerical treatment of the contact conditions within the framework of the primal-dual active set strategy. Finally, numerical experiments are presented to establish the efficiency of the proposed method by considering the comparison with the other numerical methods.

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