Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion
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Publication:348401
DOI10.1016/j.jcp.2013.09.009zbMath1349.80036OpenAlexW2019811931MaRDI QIDQ348401
Ricardo Ruiz-Baier, Zhigui Lin, Canrong Tian
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://infoscience.epfl.ch/record/188618/files/lrt_jcp14.pdf
Chemically reacting flows (80A32) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods applied to problems in thermodynamics and heat transfer (80M12)
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Cites Work
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- Pattern formation in reaction-diffusion models with nonuniform domain growth
- A robust and efficient method for steady state patterns in reaction-diffusion systems
- A computational modeling of the behavior of the two-dimensional reaction-diffusion Brusselator system
- Application of discontinuous Galerkin methods for reaction-diffusion systems in developmental biology
- A posteriori error estimation for a finite volume discretization on anisotropic meshes
- Adaptive multiresolution methods for the simulation of waves in excitable media
- Coexistence and asymptotic periodicity in a competition model of plankton allelopathy
- Numerical solution of two-dimensional reaction-diffusion Brusselator system
- A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion
- Analysis of a finite volume element method for the Stokes problem
- A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids
- A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
- Convergence properties of the Runge-Kutta-Chebyshev method
- Asymptotic behavior of solutions of a periodic diffusion system of plankton allelopathy
- Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems
- The stability of a diffusion model of plankton allelopathy with spatio-temporal delays
- A combined finite element and marker and cell method for solving Navier-Stokes equations
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- A new dimension to Turing patterns
- Finite element approximation of a nonlinear cross-diffusion population model
- Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction
- Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
- Pattern formation driven by cross-diffusion in a 2D domain
- An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems
- A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains
- Pattern formation and chaos in spatial ecological public goods games
- A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes
- ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS
- Tomography of Reaction-Diffusion Microemulsions Reveals Three-Dimensional Turing Patterns
- Turing Pattern Formation in the Brusselator Model with Superdiffusion
- Some Error Estimates for the Box Method
- Global Existence and Boundedness in Reaction-Diffusion Systems
- The chemical basis of morphogenesis
- Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
