A stabilised finite element method for the convection-diffusion-reaction equation in mixed form

DOI10.1016/j.cma.2018.04.019zbMath1440.65178OpenAlexW2802292204WikidataQ129758089 ScholiaQ129758089MaRDI QIDQ1986260

Heather Yorston, Gabriel R. Barrenechea, Abner H. Poza

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.04.019

zbMATH Keywords

first-order formulationnumerical comparisonconvection-diffusion-reaction equationstabilised finite element method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Global spectral analysis for convection-diffusion-reaction equation in one and two-dimensions: effects of numerical anti-diffusion and dispersion ⋮ A p‐adaptive, implicit‐explicit mixed finite element method for diffusion‐reaction problems ⋮ Mean zero artificial diffusion for stable finite element approximation of convection in cellular aggregate formation ⋮ Gradient recovery-based adaptive stabilized mixed FEM for the convection-diffusion-reaction equation on surfaces ⋮ Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations ⋮ A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems

Uses Software

• FreeFem++

Cites Work

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