On the generation of exact solutions for evaluating numerical schemes and estimating discretization error

DOI10.1016/j.jcp.2008.11.008zbMath1159.65093OpenAlexW1979315019MaRDI QIDQ1005418

Andrew J. Sinclair, Christopher J. Roy

Publication date: 9 March 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.11.008

zbMATH Keywords

Navier-Stokes equationsexact solutionnumerical examplesheat conductiondefect correctioncomputational fluid dynamicsRichardson extrapolationdiscretization errorviscous incompressible flowmethod of nearby problemsspline fit

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) 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)

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Cites Work

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