A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows
type: Item
instance of: scholarly article
title: A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows
zbMATH Open document ID: 1311.76072
author: Zhiyong Si
author: Wenqiang Li
author: Y. Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-01-16T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 6387110
zbMATH Keywords: gauge-Uzawa finite element method
zbMATH Keywords: fully discrete projection method
zbMATH Keywords: viscoelastic Oldroyd flows
zbMATH Keywords: stability analysis
zbMATH Keywords: error analysis
MaRDI profile type: Publication
full work available at URL: j.jmaa.2014.12.020
OpenAlex ID: W2009362994
cites work: Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
cites work: Q4073917
cites work: Q3474358
cites work: Motion of nonlinear visco-elastic fluid
cites work: Convergent difference schemes for equations of motion of Oldroyd fluids
cites work: Q3630814
cites work: A Second Order in Time Modified Lagrange--Galerkin Finite Element Method for the Incompressible Navier--Stokes Equations
cites work: A modified nonlinear Galerkin method for the viscoelastic fluid motion equations
cites work: Numerical Solution of the Navier-Stokes Equations
cites work: Superconvergent HDG methods on isoparametric elements for second-order elliptic problems
cites work: Computing with hp-ADAPTIVE FINITE ELEMENTS
cites work: Projection Method I: Convergence and Numerical Boundary Layers
cites work: Gauge method for viscous incompressible flows
cites work: An Introduction to the Mathematical Theory of the Navier-Stokes Equations
cites work: Backward Euler method for the Equations of Motion Arising in Oldroyd Fluids of Order One with Nonsmooth Initial Data
cites work: Velocity-Correction Projection Methods for Incompressible Flows
cites work: A new class of truly consistent splitting schemes for incompressible flows
cites work: On the error estimates for the rotational pressure-correction projection methods
cites work: Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
cites work: Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem
cites work: Asymptotic behavior of linearized viscoelastic flow problem
cites work: On the convergence of viscoelastic fluid flows to a steady state
cites work: Finite element approximation for the viscoelastic fluid motion problem
cites work: Initial boundary-value problems for equations of slightly-compressible Jeffreys-Oldroyd fluids
cites work: THE GAUGE-UZAWA FINITE ELEMENT METHOD PART II: THE BOUSSINESQ EQUATIONS
cites work: The Gauge--Uzawa Finite Element Method. Part I: The Navier--Stokes Equations
cites work: Error estimates for semi-discrete gauge methods for the Navier-Stokes equations
cites work: The penalty method for the equations of viscoelastic media
cites work: Semidiscrete finite element Galerkin approximations to the equations of motion arising in the Oldroyd model
cites work: On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One
cites work: OPTIMAL ERROR ESTIMATE FOR SEMI-DISCRETE GAUGE-UZAWA METHOD FOR THE NAVIER-STOKES EQUATIONS
cites work: Q5258634
cites work: Gauge-Uzawa methods for incompressible flows with variable density
cites work: On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
cites work: Error estimates for finite element approximations of consistent splitting schemes for incompressible flows
cites work: A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
cites work: Modified characteristics gauge-Uzawa finite element method for time dependent conduction-convection problems
cites work: Q3085548
cites work: Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
cites work: On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization
cites work: Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows
cites work: Fully discrete finite element method for the viscoelastic fluid motion equations
cites work: Asymptotic analysis of the equations of motion for viscoelastic Oldroyd fluid
cites work: Optimal error estimates of the penalty method for the linearized viscoelastic flows
cites work: Curved Elements in the Finite Element Method. I
DOI: 10.1016/J.JMAA.2014.12.020
description: scientific article; zbMATH DE number 6387110