Superconvergence for Triangular Linear Edge Elements

Authors

  • Chao Wu, Yunqing Huang, Wenying Lu, Zhiguang Xiong & Jinyun Yuan

DOI:

https://doi.org/10.4208/cicp.OA-2017-0148

Keywords:

Maxwell's equations, superconvergence, FEM, strongly regular grid, edge elements.

Abstract

Superconvergence for the lowest-order edge finite elements on strongly regular triangulation is studied. By the averaging technique, superconvergence of order O(h2) is established at the midpoint of the interior edge for both the finite element solution and the curl of the finite element solution. Numerical results justifying our theoretical analysis are presented.

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Published

2018-12-08

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Issue

Vol. 25 No. 4 (2019)

Section

Articles

How to Cite

Superconvergence for Triangular Linear Edge Elements. (2018). Communications in Computational Physics, 25(4), 1045-1070. https://doi.org/10.4208/cicp.OA-2017-0148