Superconvergence of piecewise linear semi-discretizations for parabolic equations with nonuniform triangulations

DOI10.1007/s00021-005-0153-yzbMath1074.65105OpenAlexW2137640974MaRDI QIDQ1781128

Jan H. Brandts, Sílvia Barbeiro, José Augusto Ferreira

Publication date: 16 June 2005

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/7738

zbMATH Keywords

convergencecomparison of methodsnumerical resultssuperconvergenceerror estimatefinite differences methodsystems of parabolic equationssupraconvergencenonuniform triangulationsnonstandard piecewise linear Finite Elements Methodsemi--discrete approximationsstrongly coercive

Mathematics Subject Classification ID

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) 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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