An unconditionally stable second-order accurate ALE-FEM scheme for two-dimensional convection-diffusion problems

DOI10.1093/imanum/drr021zbMath1267.65121OpenAlexW2083091153MaRDI QIDQ2902195

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Publication date: 17 August 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drr021

zbMATH Keywords

stabilityconvection-diffusion equationnumerical experimentsCrank-Nicolson methodbackward Euler schemegeometric conservation lawmoving meshesfinite element semi-discretizationLagrangian-Euler transformation

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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