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Superconvergence of fully discrete splitting positive definite mixed FEM for hyperbolic equations
Author(s) -
Wang Fang,
Chen Yanping,
Tang Yuelong
Publication year - 2014
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21802
Subject(s) - superconvergence , mathematics , hyperbolic partial differential equation , finite element method , partial differential equation , positive definite matrix , mathematical analysis , element (criminal law) , order (exchange) , thermodynamics , eigenvalues and eigenvectors , physics , quantum mechanics , political science , law , finance , economics
In this article, we use a splitting positive definite mixed finite element procedure to solve the second‐order hyperbolic equation. We analyze the superconvergence property of the mixed element methods with discrete‐time approximation for the hyperbolic equation. Some numerical examples are presented to illustrate our theoretical results. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 175–186, 2014