Computer Methods in Applied Mechanics and Engineering
A mixed formulation for frictional contact problems prone to Newton like solution methods
Computer Methods in Applied Mechanics and Engineering
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Path-following and augmented Lagrangian methods for contact problems in linear elasticity
Journal of Computational and Applied Mathematics
A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
SIAM Journal on Scientific Computing
Vectorized Matlab codes for linear two-dimensional elasticity
Scientific Programming
Hi-index | 7.29 |
We present a Uzawa block relaxation method for the numerical resolution of contact problems with or without friction, between elastic solids in small deformations. We introduce auxiliary unknowns to separate the linear elasticity subproblem from the unilateral contact and friction conditions. Applying a Uzawa block relaxation method to the corresponding augmented Lagrangian functional yields a two-step iterative method with a linear elasticity problem as a main subproblem while auxiliary unknowns are computed explicitly. Numerical experiments show that the method are robust and scalable with a significant saving of computational time.