A new nonlinear Galerkin finite element method for the computation of reaction diffusion equations
type: Item
instance of: scholarly article
title: A new nonlinear Galerkin finite element method for the computation of reaction diffusion equations
zbMATH Open document ID: 1329.65232
author: Rongpei Zhang
author: Jiang Zhu
author: Abimael F. D. Loula
author: Xijun Yu
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-11-10T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 6506793
zbMATH Keywords: nonlinear Galerkin method
zbMATH Keywords: finite element method
zbMATH Keywords: reaction diffusion systems
zbMATH Keywords: semi-implicit backward differentiation formula (SBDF)
zbMATH Keywords: Gray-Scott model
describes a project that uses: PRED_PREY
MaRDI profile type: Publication
full work available at URL: j.jmaa.2015.08.057
OpenAlex ID: W1923323189
cites work: Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
cites work: Exponential time differencing for stiff systems
cites work: On the Rate of Convergence of the Nonlinear Galerkin Methods
cites work: Pattern formation in the one-dimensional Gray - Scott model
cites work: Modelling of the interaction of small and large eddies in two dimensional turbulent flows
cites work: Dissipativity of numerical schemes
cites work: Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
cites work: Q5110819
cites work: Implementation of finite element nonlinear Galerkin methods using hierarchical bases
cites work: Q3412614
cites work: Q4919511
cites work: Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains
cites work: Nonlinear Galerkin Methods
cites work: Nonlinear Galerkin methods: The finite elements case
cites work: Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
cites work: Q3994920
cites work: Efficient semi-implicit schemes for stiff systems
cites work: Studies of the accuracy of time integration methods for reaction-diffusion equations.
cites work: Implicit-explicit methods for reaction-diffusion problems in pattern formation
cites work: Nonlinear Galerkin method for reaction-diffusion systems admitting invariant regions
cites work: Numerical exploration of a system of reaction-diffusion equations with internal and transient layers
cites work: The chemical basis of morphogenesis
cites work: Direct discontinuous Galerkin method for nonlinear reaction-diffusion systems in pattern formation
cites work: Application of discontinuous Galerkin methods for reaction-diffusion systems in developmental biology
DOI: 10.1016/J.JMAA.2015.08.057
description: scientific article; zbMATH DE number 6506793