A projection iterative algorithm boundary element method for the Signorini problem

Shougui Zhang (1) , Jialin Zhu (1)

1 College of Mathematics and Statistics

We propose a projection iterative algorithm based on a fixed point equation for solving a certain class of Signorini problem. The satisfaction of the Signorini boundary conditions is verified in a projection iterative manner, and at each iterative step, an elliptic mixed boundary value problem is solved by a boundary element method which is suitable for any domain. We prove the convergence of the algorithm by the property of projection. The advantage of this algorithm is that it is easy to be implemented and converge quickly. Some numerical results show the accuracy and effectiveness of the algorithm.

Mots clés: Signorini problem; Fixed point equation; Projection iterative algorithm; Convergence; Boundary element method

Domaines: Sciences de l'ingénieur [physics]

Shougui Zhang, Jialin Zhu. A projection iterative algorithm boundary element method for the Signorini problem. Engineering Analysis with Boundary Elements, 2013, 37 (1), pp. 176-181. ⟨10.1016/j.enganabound.2012.08.010⟩. ⟨hal-01363584⟩