OPTIMAL ESTIMATES FOR THE SEMIDISCRETE GALERKIN METHOD APPLIED TO PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA

DOI10.1017/S1446181114000030zbMath1297.35058OpenAlexW2212545820MaRDI QIDQ2877698

Deepjyoti Goswami, Amiya K. Pani, Sangita Yadav

Publication date: 25 August 2014

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181114000030

zbMATH Keywords

finite element methodsuperconvergenceenergy argumentoptimal error estimatenonsmooth initial datasemidiscrete solutionmaximum norm estimate

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) 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) Integro-partial differential equations (35R09)

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