Superconvergence of the second order cubic edge elements with Maxwell’s equations

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摘要

Superconvergence of the second order cubic edge elements approximation is investigated on uniform and nonuniform mesh. Superconvergence of one order higher is established at the second order Gauss points for both the finite element solution and the curl of this solution. Numerical examples are presented to support our theoretical analysis.

论文关键词:Maxwell’s equations,Superconvergence,FEM,Cubic edge elements

论文评审过程:Received 8 November 2018, Revised 28 March 2019, Accepted 23 April 2019, Available online 17 May 2019, Version of Record 2 September 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2019.04.068