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A splitting positive definite mixed element method for second‐order hyperbolic equations
Author(s) -
Zhang Jiansong,
Yang Danping
Publication year - 2009
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.20363
Subject(s) - mathematics , positive definite matrix , finite element method , hyperbolic partial differential equation , convergence (economics) , element (criminal law) , mixed finite element method , mathematical analysis , partial differential equation , partial derivative , order (exchange) , scheme (mathematics) , eigenvalues and eigenvectors , physics , finance , quantum mechanics , political science , law , economics , thermodynamics , economic growth
In this article, we establish a new mixed finite element procedure, in which the mixed element system is symmetric positive definite, to solve the second‐order hyperbolic equations. The convergence of the mixed element methods with continuous‐ and discrete‐time scheme is proved. And the corresponding error estimates are given. Finally some numerical results are presented. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009