Superconvergence analysis of splitting positive definite nonconforming mixed finite element method for pseudo-hyperbolic equations |
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| Authors: | Dong-yang Shi Qi-li Tang |
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| Institution: | 1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, China
2. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, China
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| Abstract: | In this paper, a new splitting positive definite nonconforming mixed finite element method is proposed for pseudo-hyperbolic equations, in which a quasi-Wilson quadrilateral element is used for the flux p, and the bilinear element is used for u. Superconvergence results in ‖ · ‖div,h norm for p and optimal error estimates in L 2 norm for u are derived for both semi-discrete and fully discrete schemes under almost uniform meshes. |
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| Keywords: | pseudo-hyperbolic equations splitting positive definite nonconforming mixed finite element method superclose superconvergence |
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