C IPG Method for Biharmonic Eigenvalue Problems

نویسندگان

  • Susanne C. Brenner
  • Peter Monk
  • Jiguang Sun
چکیده

We investigate the C interior penalty Galerkin (C IPG) method for biharmonic eigenvalue problems with the boundary conditions of the clamped plate, the simply supported plate and the Cahn-Hilliard type. We prove the convergence of the method and present numerical results to illustrate its performance. We also compare the C IPG method with the Argyris C finite element method, the Ciarlet-Raviart mixed finite element method, and the Morley nonconforming finite element method.

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تاریخ انتشار 2014