TY - CONF A1 - Krause, Rolf A1 - Weiser, Martin T1 - Multilevel augmented Lagrangian solvers for overconstrained contact formulations T2 - ESAIM: ProcS N2 - 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. Y1 - 2021 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/7767 VL - 71 SP - 175 EP - 184 ER -