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.
Mots clés : Quad-curl equation, mixed scheme, regularity analysis, finite element method
@article{M2AN_2018__52_1_147_0, author = {Zhang, Shuo}, title = {Mixed schemes for quad-curl equations}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis }, pages = {147--161}, publisher = {EDP-Sciences}, volume = {52}, number = {1}, year = {2018}, doi = {10.1051/m2an/2018005}, zbl = {1395.65147}, mrnumber = {3808156}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an/2018005/} }
TY - JOUR AU - Zhang, Shuo TI - Mixed schemes for quad-curl equations JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2018 SP - 147 EP - 161 VL - 52 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2018005/ DO - 10.1051/m2an/2018005 LA - en ID - M2AN_2018__52_1_147_0 ER -
Zhang, Shuo. Mixed schemes for quad-curl equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 52 (2018) no. 1, pp. 147-161. doi : 10.1051/m2an/2018005. http://www.numdam.org/articles/10.1051/m2an/2018005/
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