A Conservative Finite Element ALE Scheme for Mass-Conservative Reaction-Diffusion Equations on Evolving Two-Dimensional Domains

DOI10.1137/19M1298585zbMath1472.65124arXiv1910.02282MaRDI QIDQ5857834

Christopher Rowlatt, Robert Insall, John A. Mackenzie

Publication date: 8 April 2021

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

Full work available at URL: https://arxiv.org/abs/1910.02282

zbMATH Keywords

moving mesh methodscell migrationglobal conservationcomputational cell biologymass-conservative reaction-diffusion systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Cell biology (92C37) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Computational methods for problems pertaining to biology (92-08) Cell movement (chemotaxis, etc.) (92C17) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (4)

A p‐adaptive, implicit‐explicit mixed finite element method for diffusion‐reaction problems ⋮ Concentration-dependent domain evolution in reaction-diffusion systems ⋮ The conservative characteristic difference method and analysis for solving two-sided space-fractional advection-diffusion equations ⋮ Moving-habitat models: a numerical approach

Uses Software

• Chemotaxis
• DistMesh

Cites Work

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