Two splitting positive definite mixed finite element methods for parabolic integro-differential equations

DOI10.1016/j.amc.2012.05.018zbMath1280.65146OpenAlexW2068168037MaRDI QIDQ387514

Hui Guo, Hongfei Fu, Jian-Song Zhang

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.05.018

zbMATH Keywords

convergencenumerical exampleerror estimateparabolic integro-differential equationsmixed finite elementindependent symmetric positive definiteLadyshenskaya-Babuška-Brezzi consistency condition

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Linear integral equations (45A05)

Related Items (7)

A class of developed schemes for parabolic integro-differential equations ⋮ A new expanded mixed method for parabolic integro-differential equations ⋮ Canonical Euler splitting method for nonlinear composite stiff evolution equations ⋮ A splitting mixed covolume method for viscoelastic wave equations on triangular grids ⋮ A splitting positive definite mixed finite element method for elliptic optimal control problem ⋮ Highly efficient \(H^1\)-Galerkin mixed finite element method (MFEM) for parabolic integro-differential equation ⋮ Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

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