A residual based a posteriori error estimators for AFC schemes for convection-diffusion equations

DOI10.1016/j.camwa.2021.05.031OpenAlexW3171661331MaRDI QIDQ2047564

Abhinav Jha

Publication date: 20 August 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02938

zbMATH Keywords

energy normSUPG finite element methoda posteriori estimatorsteady-state convection-diffusion equationsalgebraic flux correction (AFC) schemes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations ⋮ Analysis of algebraic flux correction schemes for semi-discrete advection problems ⋮ A review of VMS a posteriori error estimation with emphasis in fluid mechanics ⋮ Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations

Uses Software

• UMFPACK
• ParMooN

Cites Work

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