Quasioptimality of some spectral mixed methods
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摘要
In this paper, we construct a sequence of projectors into certain polynomial spaces satisfying a commuting diagram property with norm bounds independent of the polynomial degree. Using the projectors, we obtain quasioptimality of some spectral mixed methods, including the Raviart–Thomas method and mixed formulations of Maxwell equations. We also prove some discrete Friedrichs type inequalities involving curl.
论文关键词:Poincare lemma,Right inverse,Spectral methods,Mixed methods,Raviart–Thomas method,Maxwell equations remarks: “Revised version is accepted”
论文评审过程:Received 17 July 2003, Revised 17 October 2003, Available online 14 January 2004.
论文官网地址:https://doi.org/10.1016/j.cam.2003.10.001