Analysis of Algebraic Flux Correction Schemes

DOI10.1137/15M1018216zbMath1346.65048OpenAlexW2342408145MaRDI QIDQ3188305

Knobloch, Petr, Gabriel R. Barrenechea, Volker John

Publication date: 18 August 2016

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

Full work available at URL: https://doi.org/10.1137/15m1018216

zbMATH Keywords

convergence analysisnumerical exampleswell-posednessdiscrete maximum principlea priori error estimateconvection-diffusion-reaction equationslinear boundary value problemabstract problemalgebraic flux correction method

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) 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

• MooNMD
• Anderson

Cites Work

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