Multilevel augmented Lagrangian solvers for overconstrained contact formulations
- Multigrid methods for two-body contact problems are mostly based on special mortar discretizations, nonlinear Gauss-Seidel solvers, and solution-adapted coarse grid spaces. Their high computational efficiency comes at the cost of a complex implementation and a nonsymmetric master-slave discretization of the nonpenetration condition. Here we investigate an alternative symmetric and overconstrained segment-to-segment contact formulation that allows for a simple implementation based on standard multigrid and a symmetric treatment of contact boundaries, but leads to nonunique multipliers. For the solution of the arising quadratic programs, we propose augmented Lagrangian multigrid with overlapping block Gauss-Seidel smoothers. Approximation and convergence properties are studied numerically at standard test problems.
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| Author: | Rolf KrauseORCiD, Martin WeiserORCiD |
|---|---|
| Document Type: | In Proceedings |
| Parent Title (English): | ESAIM: ProcS |
| Volume: | 71 |
| First Page: | 175 |
| Last Page: | 184 |
| Year of first publication: | 2021 |
| DOI: | https://doi.org/10.1051/proc/202171175 |
