Projection and self-adaptive projection methods for the Signorini problem with the BEM

Zhang, Shougui

doi:10.1016/j.camwa.2017.06.021

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Cited by 11 publications

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“…To this end, the non-linear boundary conditions Equation (4) necessitates a specific design [5,10,13,23]. The projection iterative methods [21][22][23] are such approaches. In the next section we provide an heuristic analysis to outline the connections with the switching method [5].…”

Section: Problem Descriptionmentioning

confidence: 99%

High-order compact scheme finite difference discretization for Signorini's problem

Abide

Mansouri

Cherkaoui

et al. 2020

International Journal of Computer Mathematics

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This paper brings out an analysis of the projection iterative algorithm for the numerical solution of the Signorini problem. The very closed connections with the switching method are highlighted. In addition, the relevance of higher-order discretization for Signorini problem is discussed. Thus, a specific iterative solver is developed to address the present fourth and sixth-order compact scheme discretizations. This method is based on a lower-order preconditioning method. Several numerical experiments have been performed to bring light to the accuracy of such method, despite the lack of smoothness at the Signorini boundary.

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