caa a22 4500 445830875 CHVBK 20180317145314.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10255-011-0103-9 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0103-9 A second order nonconforming rectangular finite element method for approximating Maxwell's equations [Elektronische Daten] [Dong-yang Shi, Xiao-bin Hao] The main objective of this paper is to present a new rectangular nonconforming finite element scheme with the second order convergence behavior for approximation of Maxwell's equations. Then the corresponding optimal error estimates are derived. The difficulty in construction of this finite element scheme is how to choose a compatible pair of degrees of freedom and shape function space so as to make the consistency error due to the nonconformity of the element being of order O(h 3), properly one order higher than that of its interpolation error O(h 2) in the broken energy norm, where h is the subdivision parameter tending to zero. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 Maxwell's equations nationallicence rectangular nonconforming element nationallicence second order convergence behavior nationallicence error estimates nationallicence Shi Dong-yang Department of Mathematics, Zhengzhou University, 450052, Zhengzhou, China aut Hao Xiao-bin Department of Mathematical and Physical Sciences, Henan Institute of Engineering, 451191, Zhengzhou, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/4(2011-10-01), 739-748 0168-9673 27:4<739 2011 27 10255 https://doi.org/10.1007/s10255-011-0103-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0103-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shi Dong-yang Department of Mathematics, Zhengzhou University, 450052, Zhengzhou, China aut NATIONALLICENCE 700 1- Hao Xiao-bin Department of Mathematical and Physical Sciences, Henan Institute of Engineering, 451191, Zhengzhou, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/4(2011-10-01), 739-748 0168-9673 27:4<739 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer