Optimal spatial error estimates for DG time discretizations

DOI10.1515/JNUM-2013-0009zbMath1284.65067OpenAlexW2024759313MaRDI QIDQ2863115

Miloslav Vlasák

Publication date: 21 November 2013

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

Full work available at URL: https://doi.org/10.1515/jnum-2013-0009

zbMATH Keywords

heat equationerror estimatesparabolic partial differential equationsHilbert spacelinear Cauchy problemdiscontinuous Galerkin (DG) methoddiscretizations in time and in spacesemi-linear convection-diffusion equation

Mathematics Subject Classification ID

Heat equation (35K05) 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) Linear differential equations in abstract spaces (34G10) Semilinear parabolic equations (35K58) Numerical solutions to abstract evolution equations (65J08)

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