Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 93, Issue 3, Pages -Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-022-02027-y
Keywords
Maxwell's equations; Triangular edge elements; Superconvergence; Recovery; Least squares fitting
Categories
Funding
- NSFC project [12226353, 11971410, 12071400, 12171087]
- Hunan Provincial NSF Project [2021JJ40189]
- China's National Key RD Programs [2020YFA0713500]
- Hunan National Applied Mathematics Center of Hunan Provincial Science and Technology Department [2020ZYT003]
- National Natural Science Foundation of China [11871413]
- Construction of Innovative Provinces in Hunan Province [2021GK1010]
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This paper proposes function and curl recovery methods for the lowest order triangular edge element, and carries out a superconvergence analysis and numerical experiments to validate the effectiveness of the methods.
For the lowest order triangular edge element, function and curl recovery methods are proposed to recover the finite element approximation and its curl onto the space of piecewise continuous functions by least-squares fitting. A superconvergence analysis is carried out on the uniform triangular mesh. Numerical experiments are provided to illustrate the superconvergence of the recovery methods and the performance of the corresponding recovery based a posteriori error estimators in adaptive computation.
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