%A ZHANG Ya-dong1, LI Xin-xiang2, SHI Dong-yang3 %T Superconvergence analysis of a nonconforming finite element for #br# strongly damped wave equations %0 Journal Article %D 2014 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R 10.6040/j.issn.1671-9352.0.2013.537 %P 28-35 %V 49 %N 05 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_31.shtml} %8 2014-05-20 %X The superconvergence analysis of nonconforming finite element method for strongly damped wave equation is studied. The corresponding optimal order convergence error estimates and superclose property are obtained in broken H1-norm for both semi-discrete and fully-discrete schemes based on the interpolation of the element directly instead of the Ritz projection operator, which is an indispensabel tool in the traditional finite element analyis.The global superconvergence is derived through interpolation postprocessing technique. Finally, some numerical results are provided to show the validity of the theoretical analysis.