A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes

DOI10.1007/s10444-021-09907-1zbMath1492.92009OpenAlexW4200230638MaRDI QIDQ2070287

Diego Armando Rueda-Gómez, Francisco Guillén-González, Maria Angeles Rodríguez-Bellido

Publication date: 24 January 2022

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-021-09907-1

zbMATH Keywords

finite element approximationenergy-stabilitynonlinear productionapproximated positivitychemorepulsion model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) 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 movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (6)

An Optimal Control Problem Subject to Strong Solutions of Chemotaxis-Consumption Models ⋮ Convergence of a Time Discrete Scheme for a Chemotaxis-Consumption Model ⋮ Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility ⋮ Finite element numerical schemes for a chemo-attraction and consumption model ⋮ Finite element analysis of a two-species chemotaxis system with two chemicals ⋮ On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: theoretical and numerical analysis

Uses Software

• Chemotaxis

Cites Work

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