Time-dependent semidiscrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilized formulation-Reference-Cited by-同舟云学术

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Time-dependent semidiscrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilized formulation

Published:2018-04-24 Issue:2 Volume:39 Page:792-819
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Barrenechea Gabriel R¹,Castillo Ernesto²,Codina Ramon³

Affiliation:

1. Department of Mathematics and Statistics, University of Strathclyde, UK

2. Universidad de Santiago de Chile (USACH), Departamento de Ingeniería Mecánica, Av. Bernardo O’Higgins, Chile

3. Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, Spain

Funder

National Commission for Scientific and Technological Research

National Fund for Scientific and Technological Development

Catalan Institution for Research and Advanced Studies

Universidad de Sevilla

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

http://academic.oup.com/imajna/article-pdf/39/2/792/28378226/dry018.pdf

Reference42 articles.

1. Mixed finite element methods for viscoelastic flow analysis: a review;Baaijens;J. Nonnewton. Fluid Mech.,1998

2. On a multiscale approach to the transient Stokes problem: dynamic subscales and anisotropic space–time discretization;Badia;Appl. Math. Comput.,2009

3. Long-term stability estimates and existence of a global attractor in a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling;Badia;SIAM J. Numer. Anal.,2010

4. Finite element approximation of viscoelastic fluid flow: existence of approximate solutions and error bounds;Baranger;Numer. Math.,1992

5. Numerical analysis of a FEM for a transient viscoelastic flow;Baranger;Comput. Methods Appl. Mech. Eng.,1995

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1. Computational modelling of compressible nonisothermal viscoelastic fluids;Computers & Fluids;2024-03

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3. Study of unsteady non-Newtonian fluid flow behavior in a two-sided lid-driven cavity at different aspect ratios;Journal of Non-Newtonian Fluid Mechanics;2023-02

4. Consistent splitting schemes for incompressible viscoelastic flow problems;International Journal for Numerical Methods in Engineering;2023-01

5. Stabilised Variational Multi-scale Finite Element Formulations for Viscoelastic Fluids;Archives of Computational Methods in Engineering;2021-03-26

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