| Issue |
ESAIM: M2AN
Volume 52, Number 1, January–February 2018
|
|
|---|---|---|
| Page(s) | 147 - 161 | |
| DOI | https://doi.org/10.1051/m2an/2018005 | |
| Published online | 04 May 2018 | |
Mixed schemes for quad-curl equations★
LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences,
Beijing
100190, PR China
* Corresponding author: szhang@lsec.cc.ac.cn
Received:
16
March
2017
Accepted:
11
January
2018
In this paper, mixed schemes are presented for two variants of quad-curl equations. Specifically, stable equivalent mixed formulations for the model problems are presented, which can be discretized by finite elements of low regularity and of low degree. The regularities of the mixed formulations and thus equivalently the primal formulations are established, and some finite elements examples are given which can exploit the regularity of the solutions to an optimal extent.
Mathematics Subject Classification: 65N30 / 35Q60 / 76E25 / 76W05
Key words: Quad-curl equation / mixed scheme / regularity analysis / finite element method
© EDP Sciences, SMAI 2018
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