Preconditioners for spectral element methods for elliptic and parabolic problems

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摘要

In this paper we propose preconditioners for spectral element methods for elliptic and parabolic problems. These preconditioners are constructed using separation of variables and are easy to invert. Moreover they are spectrally equivalent to the quadratic forms which they are used to approximate.

论文关键词：65F15,65M05,65M55,65M70,Preconditioner,Spectrally equivalent,Separation of variables,Elliptic,Parabolic

论文评审过程：Received 11 September 2006, Revised 28 March 2007, Available online 7 April 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.03.030