Analysis of a Stabilized Finite Element Approximation of the Transient Convection‐Diffusion Equation Using an ALE Framework

DOI10.1137/050643532zbMath1126.65079OpenAlexW2094113607MaRDI QIDQ5422481

Ramon Codina, Santiago Badia

Publication date: 22 October 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050643532

zbMATH Keywords

stabilityerror estimatesconvection-diffusion equationsemidiscretizationstabilized finite elementsarbitrary Lagrangian Euleriansecond-order backward differencing

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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