Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation

DOI10.1016/j.apnum.2022.06.014zbMath1502.65151OpenAlexW4283830261WikidataQ113880050 ScholiaQ113880050MaRDI QIDQ2165874

Huaijun Yang, Dong-Yang Shi

Publication date: 23 August 2022

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.06.014

zbMATH Keywords

optimal error estimatesFEMnonlinear parabolic integro-differential equationlinearized backward Euler scheme

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) 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) Electromagnetic theory (general) (78A25) Integro-partial differential equations (35R09)

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