On error estimates for Galerkin spectral discretizations of parabolic problems with nonsmooth initial data

DOI10.1090/S0025-5718-00-01195-9zbMath1001.65108OpenAlexW2062897937MaRDI QIDQ2701549

Javier de Frutos, Rafael Muñoz-Sola

Publication date: 19 February 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01195-9

zbMATH Keywords

convergenceerror estimatesparabolic equationspectral Galerkin methodnonsmooth initial datasemidiscretizations

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (1)

On error estimates for Galerkin spectral discretizations of parabolic problems with nonsmooth initial data

Cites Work

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• Properties of Some Weighted Sobolev Spaces and Application to Spectral Approximations
• On the Smoothing Property of the Galerkin Method for Parabolic Equations
• Galerkin Finite Element Methods for Parabolic Problems

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