TY - JOUR
T1 - Superconvergence for Triangular Linear Edge Elements
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 - <p style="text-align: justify;">Superconvergence for the lowest-order edge finite elements on strongly regular triangulation is studied. By the averaging technique, superconvergence of order
O(h<sup>2</sup>) 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.</p>