Volume 25, Issue 4
Superconvergence for Triangular Linear Edge Elements

Chao Wu ,  Yunqing Huang ,  Wenying Lu ,  Zhiguang Xiong and Jinyun Yuan

10.4208/cicp.OA-2017-0148

Commun. Comput. Phys., 25 (2019), pp. 1045-1070.

Preview Full PDF BiBTex 130 1057
  • 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.

  • History

Published online: 2018-12

  • AMS Subject Headings

80M10

  • Cited by