Error Estimate of Unconditionally Stable and Decoupled Linear Positivity-Preserving FEM for the Chemotaxis-Stokes Equations

DOI10.1137/21M142085XzbMath1480.65254OpenAlexW4205096152MaRDI QIDQ5020752

Kun Wang, Xinlong Feng, Xueling Huang

Publication date: 7 January 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m142085x

zbMATH Keywords

finite element methoderror estimatepositivity-preserving methodchemotaxis-Stokes equationsunconditionally stable and decoupled linear scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stokes and related (Oseen, etc.) flows (76D07) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17)

Related Items (4)

Error estimates for the finite element method of the chemotaxis-Navier-Stokes equations ⋮ Unconditionally energy-stable discontinuous Galerkin method for the chemo-repulsion-Navier-Stokes system ⋮ Low order nonconforming finite element methods for nuclear reactor model ⋮ Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model

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