\textit{A posteriori} error analysis of the Crank-Nicolson finite element method for parabolic integro-differential equations

DOI10.1007/s10915-018-0860-1zbMath1419.65069OpenAlexW2899272800MaRDI QIDQ2000051

Rajen Kumar Sinha, José Alberto Cuminato, Gujji Murali Mohan Reddy

Publication date: 27 June 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0860-1

zbMATH Keywords

finite element methodparabolic integro-differential equationsCrank-Nicolson method\textit{a posteriori} error estimateRitz-Volterra reconstruction

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Volterra integral equations (45D05) Second-order parabolic equations (35K10) Integro-partial differential equations (35R09)

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