A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods

نویسندگان

  • Xiaole Han
  • Yu Li
  • Hehu Xie
  • H. Xie
چکیده

In this paper, a multilevel correction scheme is proposed to solve the Steklov eigenvalue problem by nonconforming finite element methods. With this new scheme, the accuracy of eigenpair approximations can be improved after each correction step which only needs to solve a source problem on finer finite element space and an Steklov eigenvalue problem on the coarsest finite element space. This correction scheme can increase the overall efficiency of solving eigenvalue problems by the nonconforming finite element method. Furthermore, as same as the direct eigenvalue solving by nonconforming finite element methods, this multilevel correction method can also produce the lower-bound approximations of the eigenvalues. AMS subject classifications: 65N30, 65N25, 65L15, 65B99

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Article history: Received 27 November 2008 Received in revised form 27 March 2009 Accepted 22 April 2009 Available online 3 May 2009 MSC: 65N25 65N30 65N15

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تاریخ انتشار 2015