Weak Galerkin finite element method for an inhomogeneous Brusselator model with cross-diffusion

DOI10.22124/JMM.2019.13501.1277zbMath1449.65249OpenAlexW2968318697MaRDI QIDQ5212566

Rezvan Salehi, Leila Jafarian Khaled-Abad

Publication date: 29 January 2020

Full work available at URL: https://jmm.guilan.ac.ir/article_3496_873c430e8852169ce6891c745004a9b3.pdf

zbMATH Keywords

reaction-diffusion systemweak gradientweak Galerkin finite element method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Chemically reacting flows (80A32) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

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• Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion
• Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity
• A weak Galerkin finite element method for a coupled Stokes-Darcy problem on general meshes
• A weak Galerkin finite element method for second-order elliptic problems
• A computational study of the weak Galerkin method for second-order elliptic equations
• On L² Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems
• A Meshless Method for Solving the 2D BrusselatorReaction-Diffusion System

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