An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem

DOI10.1016/j.cam.2009.09.004zbMath1181.65113OpenAlexW2018332410MaRDI QIDQ1034670

Marco Picasso, Virabouth Prachittham

Publication date: 6 November 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.09.004

zbMATH Keywords

numerical examplesadaptive algorithmboundary layersCrank-Nicolson difference schemelinear finite elementsa posteriori boundnonstationary convection-diffusion problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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, 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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Uses Software

• BL2D-V2

Cites Work

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