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A multilevel preconditioner for the mortar method for nonconforming finite element

Talal RahmanXuejun Xu — 2009

ESAIM: Mathematical Modelling and Numerical Analysis

A multilevel preconditioner based on the abstract framework of the auxiliary space method, is developed for the mortar method for the nonconforming finite element or the lowest order Crouzeix-Raviart finite element on nonmatching grids. It is shown that the proposed preconditioner is quasi-optimal in the sense that the condition number of the preconditioned system is independent of the mesh size, and depends only quadratically on the number of refinement levels. Some numerical...

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