Numerical Algorithm for Spatial Segregation of Competitive Systems

DOI10.1137/080722588zbMath1223.65075OpenAlexW2083539116MaRDI QIDQ3162138

Farid Bozorgnia

Publication date: 19 October 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/548a3b6de119cc84235f92d693adee4c4d217b7c

zbMATH Keywords

convergencefinite elementiterative methodspopulation dynamicsfree boundary problemscompeting species

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Population dynamics (general) (92D25) 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) Free boundary problems for PDEs (35R35)

Related Items (10)

On a class of singularly perturbed elliptic systems with asymptotic phase segregation ⋮ Uniqueness of a solution to a general class of discrete system defined on connected graphs ⋮ Introduction to some conjectures for spectral minimal partitions ⋮ A level set method for the Dirichlet \(k\)-partition problem ⋮ Numerical algorithms for a variational problem of the spatial segregation of reaction-diffusion systems ⋮ Uniqueness result for long range spatially segregation elliptic system ⋮ Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov–Bohm Hamiltonians on the Square with Application to Minimal Partitions ⋮ Convergence of the finite difference scheme for a general class of the spatial segregation of reaction-diffusion systems ⋮ A numerical approach for a general class of the spatial segregation of reaction-diffusion systems arising in population dynamics ⋮ Optimal partitions for first eigenvalues of the Laplace operator

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