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Volume 25, Issue 4
Superconvergence for Triangular Linear Edge Elements

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

DOI: 10.4208/cicp.OA-2017-0148

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

Published online: 2018-12

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  • 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.

  • Keywords

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

  • AMS Subject Headings

80M10

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{CiCP-25-1045, author = {Chao Wu, Yunqing Huang, Wenying Lu, Zhiguang Xiong and Jinyun Yuan}, title = {Superconvergence for Triangular Linear Edge Elements}, journal = {Communications in Computational Physics}, year = {2018}, volume = {25}, number = {4}, pages = {1045--1070}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0148}, url = {http://global-sci.org/intro/article_detail/cicp/12890.html} }
TY - JOUR T1 - Superconvergence for Triangular Linear Edge Elements AU - Chao Wu, Yunqing Huang, Wenying Lu, Zhiguang Xiong & Jinyun Yuan JO - Communications in Computational Physics VL - 4 SP - 1045 EP - 1070 PY - 2018 DA - 2018/12 SN - 25 DO - http://doi.org/10.4208/cicp.OA-2017-0148 UR - https://global-sci.org/intro/article_detail/cicp/12890.html KW - Maxwell's equations, superconvergence, FEM, strongly regular grid, edge elements. AB -

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.

Chao Wu, Yunqing Huang, Wenying Lu, Zhiguang Xiong and Jinyun Yuan. (2018). Superconvergence for Triangular Linear Edge Elements. Communications in Computational Physics. 25 (4). 1045-1070. doi:10.4208/cicp.OA-2017-0148
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