Splitting positive definite mixed element methods for pseudo‐hyperbolic equations |
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| Authors: | Yang Liu Hong Li Jinfeng Wang Siriguleng He |
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| Institution: | 1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;2. School of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Hohhot 010051, China |
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| Abstract: | Splitting positive definite mixed finite element (SPDMFE) methods are discussed for a class of second‐order pseudo‐hyperbolic equations. Depending on the physical quantities of interest, two methods are proposed. Error estimates are derived for both semidiscrete and fully discrete schemes. The existence and uniqueness for semidiscrete schemes are proved. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 670–688, 2012 |
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| Keywords: | error estimates pseudo‐hyperbolic equations splitting positive definite mixed finite element |
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