Abstract
A lot of methods are applied in the numerical solution of contact problems, among which the most widely used method is known as Uzawa algorithm. A contact problem can transform into a saddle problem. We use Uzawa algorithm for this saddle format. Because this form can get both displacements for nodes and outward normal components of stress vectors for boundary nodes. Although the Uzawa algorithm is easy to implement, its convergent velocity is slow. Taking this algorithm as a fixed point iteration, we can use the Anderson acceleration to improve the convergent velocity.
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