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H 1 ‐Galerkin expanded mixed finite element methods for nonlinear pseudo‐parabolic integro‐differential equations
Author(s) -
Che Haitao,
Zhou Zhaojie,
Jiang Ziwen,
Wang Yiju
Publication year - 2013
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.21731
Subject(s) - mathematics , galerkin method , finite element method , uniqueness , nonlinear system , mathematical analysis , discontinuous galerkin method , partial differential equation , function (biology) , a priori and a posteriori , scheme (mathematics) , parabolic partial differential equation , physics , philosophy , epistemology , quantum mechanics , evolutionary biology , biology , thermodynamics
H 1 ‐Galerkin mixed finite element method combined with expanded mixed element method is discussed for nonlinear pseudo‐parabolic integro‐differential equations. We conduct theoretical analysis to study the existence and uniqueness of numerical solutions to the discrete scheme. A priori error estimates are derived for the unknown function, gradient function, and flux. Numerical example is presented to illustrate the effectiveness of the proposed scheme. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013