View in EDS

Finite element analysis of a pseudostress–pressure–velocity formulation of the stationary Navier–Stokes equations.

Saved in:
Bibliographic Details
Title: Finite element analysis of a pseudostress–pressure–velocity formulation of the stationary Navier–Stokes equations.
Authors: Farhloul, M.1 (AUTHOR) mohamed.farhloul@umoncton.ca, Fall, N.2 (AUTHOR) ndiogou.fall.1@ulaval.ca, Dione, I.1 (AUTHOR) ibrahima.dione@umoncton.ca, Léger, S.1 (AUTHOR) sophie.leger@umoncton.ca
Source: Journal of Computational & Applied Mathematics. Dec2025, Vol. 469, pN.PAG-N.PAG. 1p.
Subjects: Finite element method, Stokes equations, Equations, Velocity, Polynomials
Abstract: This article is concerned with a dual-mixed formulation of the Navier–Stokes equations which is based on the introduction of the pseudostress as a new unknown. The problem is approximated by a mixed finite element method in two and three dimensions: Raviart–Thomas elements of index k ≥ 0 for the pseudostress tensor, and piecewise discontinuous polynomials of degree k ≥ 0 for the velocity and the pressure. An existence result for the finite-element solution and convergence results are proved near a nonsingular solution. Finally, quasi-optimal error estimates, which improve those existing in the literature, are provided. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 185159394
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Finite element analysis of a pseudostress–pressure–velocity formulation of the stationary Navier–Stokes equations.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Farhloul%2C+M%2E%22">Farhloul, M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mohamed.farhloul@umoncton.ca</i><br /><searchLink fieldCode="AR" term="%22Fall%2C+N%2E%22">Fall, N.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> ndiogou.fall.1@ulaval.ca</i><br /><searchLink fieldCode="AR" term="%22Dione%2C+I%2E%22">Dione, I.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ibrahima.dione@umoncton.ca</i><br /><searchLink fieldCode="AR" term="%22Léger%2C+S%2E%22">Léger, S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sophie.leger@umoncton.ca</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+%26+Applied+Mathematics%22">Journal of Computational & Applied Mathematics</searchLink>. Dec2025, Vol. 469, pN.PAG-N.PAG. 1p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Stokes+equations%22">Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink><br /><searchLink fieldCode="DE" term="%22Velocity%22">Velocity</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This article is concerned with a dual-mixed formulation of the Navier–Stokes equations which is based on the introduction of the pseudostress as a new unknown. The problem is approximated by a mixed finite element method in two and three dimensions: Raviart–Thomas elements of index k ≥ 0 for the pseudostress tensor, and piecewise discontinuous polynomials of degree k ≥ 0 for the velocity and the pressure. An existence result for the finite-element solution and convergence results are proved near a nonsingular solution. Finally, quasi-optimal error estimates, which improve those existing in the literature, are provided. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=185159394
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.cam.2025.116665
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Stokes equations
        Type: general
      – SubjectFull: Equations
        Type: general
      – SubjectFull: Velocity
        Type: general
      – SubjectFull: Polynomials
        Type: general
    Titles:
      – TitleFull: Finite element analysis of a pseudostress–pressure–velocity formulation of the stationary Navier–Stokes equations.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Farhloul, M.
      – PersonEntity:
          Name:
            NameFull: Fall, N.
      – PersonEntity:
          Name:
            NameFull: Dione, I.
      – PersonEntity:
          Name:
            NameFull: Léger, S.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 12
              Text: Dec2025
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 03770427
          Numbering:
            – Type: volume
              Value: 469
          Titles:
            – TitleFull: Journal of Computational & Applied Mathematics
              Type: main
ResultId 1