摘要

In this paper, a Newton conjugate gradient (Newton-CG) augmented Lagrangian-based finite-element method is proposed to solve elastic contact problems without friction. The contact problem is discretized by the finite-element method. Based on a minimum theorem, the contact problem is reformulated as an optimization problem with inequality constraints. Then, the Newton-CG augmented Lagrangian method is applied to solve the constrained optimization problem. Numerical experiments were performed to validate the efficiency of the proposed method.

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