Nonlinear Galerkin method for reaction-diffusion systems admitting invariant regions

DOI10.1016/S0377-0427(00)00582-3zbMath0990.65112MaRDI QIDQ5948573

Jan Šembera, Michal Beneš

Publication date: 18 July 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical experimentsinvariant regionsBrusselator systemsnonlinear Galerkin methodsweakly nonlinear reaction-diffusion systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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)

Related Items (6)

Mathematical model of signal propagation in excitable media ⋮ Nonlinear Galerkin finite element method applied to the system of reaction-diffusion equations in one space dimension ⋮ A new nonlinear Galerkin finite element method for the computation of reaction diffusion equations ⋮ Solving the nonlinear and nonstationary Richards equation with two-level adaptive domain decomposition (\(dd\)-adaptivity) ⋮ Nonlinear Galerkin methods for a system of PDEs with Turing instabilities ⋮ A wildland fire model with data assimilation

Cites Work

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• A nonlinear Galerkin method for the Navier-Stokes equations
• The nonlinear Galerkin method in computational fluid dynamics
• Infinite-dimensional dynamical systems in mechanics and physics
• On the construction of families of approximate inertial manifolds
• Attractors for reaction-diffusion equations: existence and estimate of their dimension
• Nonlinear Galerkin Methods

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