Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 75, Issue 1, Pages 510-535Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-017-0544-2
Keywords
High-order rectangular edge element; Superconvergence; Gauss points; Time-harmonic Maxwell's equation
Categories
Funding
- China Scholarship Council
- National Natural Science Foundation of China (NSFC) [11671233]
- NSF [DMS-1416742, NSFC 11671340]
- US NSF [DMS-1419040]
- [NSFC 11471031]
- [NSFC 91430216]
- [NSAF U1530401]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1416742] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1419040] Funding Source: National Science Foundation
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In this paper, high-order rectangular edge elements are used to solve the two dimensional time-harmonic Maxwell's equations. Superconvergence for the N,d,lec interpolation at the Gauss points is proved for both the second and third order edge elements. Using this fact, we obtain the superconvergence results for the electric field , magnetic field H and in the discrete norm when the Maxwell's equations are solved by both elements. Extensive numerical results are presented to justify our theoretical analysis.
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