Two-Grid Method Based on Hybrid Scheme for Plate Vibration Eigenvalue Problem

Abstract

In this paper, for plate vibration eigenvalue problem, we primarily give the two-grid discretization based on the shifted-inverse iteration of Ciarlet-Raviart mixed method. According to this scheme, the eigenvalue problem of plate vibration on h π grid can be simplified to the solution of plate vibration on H π grid and the solution of system of linear equations on h π grid. In this paper, it is proved that when