Analysis of an augmented fully-mixed finite element method for a bioconvective flows model

DOI10.1016/j.cam.2021.113504zbMath1468.65186OpenAlexW3134176787MaRDI QIDQ2020567

Eligio Colmenares, Willian Miranda, Gabriel N. Gatica

Publication date: 23 April 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113504

zbMATH Keywords

fixed point theorynonlinear partial differential equationsmixed finite element methoda priori error analysisbioconvectionaugmented formulations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Suspensions (76T20) Cell movement (chemotaxis, etc.) (92C17)

Related Items

Application of Tikhonov fixed point theorem to analyze an inverse problem for a bioconvective flow model, Two-level finite element methods for the steady bio-convection flows problem, New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces

Uses Software

• UMFPACK
• FreeFem++

Cites Work

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