Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation

DOI10.1007/s10915-021-01626-5zbMath1501.65068OpenAlexW3196768717MaRDI QIDQ1983569

Mehdi Dehghan, Zeinab Gharibi

Publication date: 10 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01626-5

zbMATH Keywords

convergenceTuring patternsBrusselator modelvirtual elementscross-diffusion effectnonlinear reaction-diffusion systempolygonal meshes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

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