Journal
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
Volume 25, Issue 4, Pages 1045-1070Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.OA-2017-0148
Keywords
Maxwell's equations; superconvergence; FEM; strongly regular grid; edge elements
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Funding
- NSFC [11801165, 11626099, 11571102, 91430213, 11626098]
- Education Department of Hunan Province [16C0636]
- CNPq, Brazil [407848/2017-7]
- Hunan Provincial NSF Project [2016JJ6042]
- CAPES
- CNPq, Brazil
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Superconvergence for the lowest-order edge finite elements on strongly regular triangulation is studied. By the averaging technique, superconvergence of order O(h(2)) 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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