Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods
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摘要
This paper deals with the nonconforming spectral approximation of variationally posed eigenvalue problems. It is an extension to more general situations of known previous results about nonconforming methods. As an application of the present theory, convergence and optimal order error estimates are proved for the lowest order Crouzeix–Raviart approximation of the eigenpairs of two representative second-order elliptical operators.
论文关键词:Nonconforming methods,Spectral approximation,Eigenvalue problems,Steklov eigenvalue problem
论文评审过程:Received 18 December 2006, Revised 21 December 2007, Available online 16 January 2008.
论文官网地址:https://doi.org/10.1016/j.cam.2008.01.008