Analysis of an augmented fully-mixed finite element method for a bioconvective flows model
type: Item
instance of: scholarly article
title: Analysis of an augmented fully-mixed finite element method for a bioconvective flows model
zbMATH Open document ID: 1468.65186
author: Eligio Colmenares
author: Willian Miranda
author: Gabriel N. Gatica
published in: Journal of Computational and Applied Mathematics
publication date: 2021-04-23T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76T20
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7337481
zbMATH Keywords: bioconvection
zbMATH Keywords: nonlinear partial differential equations
zbMATH Keywords: augmented formulations
zbMATH Keywords: mixed finite element method
zbMATH Keywords: fixed point theory
zbMATH Keywords: a priori error analysis
describes a project that uses: UMFPACK
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113504
OpenAlex ID: W3134176787
cites work: Hydrodynamic Phenomena in Suspensions of Swimming Microorganisms
cites work: On the equations of bioconvective flow
cites work: Q5409372
cites work: Time-reproductive solutions for a bioconvective flow
cites work: On the convergence of Galerkin spectral methods for a bioconvective flow
cites work: Q4128143
cites work: Q5247199
cites work: Simulation of self-propelled chemotactic bacteria in a stokes flow
cites work: Microscopic Modelling of Active Bacterial Suspensions
cites work: A result on the existence and uniqueness of stationary solutions for a bioconvective flow model
cites work: Development and stability of gyrotactic plumes in bioconvection
cites work: Wavelengths of gyrotactic plumes in bioconvection
cites work: Periodic arrays of gyrotactic plumes in bioconvection
cites work: A computational model of the collective fluid dynamics of motile micro-organisms
cites work: A coupled chemotaxis-fluid model: global existence
cites work: Numerical investigation of falling bacterial plumes caused by bioconvection in a three-dimensional chamber
cites work: Bacterial swimming and oxygen transport near contact lines
cites work: A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity
cites work: A fully-mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent parameters
cites work: An augmented mixed-primal finite element method for a coupled flow-transport problem
cites work: Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations
cites work: Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem
cites work: An augmented fully-mixed finite element method for the stationary Boussinesq problem
cites work: Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: An exactly divergence-free finite element method for a generalized Boussinesq problem
cites work: A Simple Introduction to the Mixed Finite Element Method
cites work: Q5318420
cites work: Q4303980
cites work: Q5186672
cites work: Q5301029
cites work: Q3126802
cites work: Mixed and Hybrid Finite Element Methods
cites work: An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity
cites work: New development in freefem++
cites work: Algorithm 832
DOI: 10.1016/J.CAM.2021.113504
description: scientific article; zbMATH DE number 7337481