Premium
Weak G alerkin finite element methods for linear parabolic integro‐differential equations
Author(s) -
Zhu Ailing,
Xu Tingting,
Xu Qiang
Publication year - 2016
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.22053
Subject(s) - mathematics , galerkin method , finite element method , discontinuous galerkin method , partial differential equation , parabolic partial differential equation , mathematical analysis , order (exchange) , physics , finance , economics , thermodynamics
The semidiscrete and fully discrete weak Galerkin finite element schemes for the linear parabolic integro‐differential equations are proposed. Optimal order error estimates are established for the corresponding numerical approximations in bothL 2andH 1norms. Numerical experiments illustrating the error behaviors are provided.© 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 1357–1377, 2016