Skip to main content
SpringerLink
Log in

Convergence analysis and error estimates for a parallel algorithm for solving the Navier-Stokes equations

  • Original article
  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Summary.

This paper is concerned with the analysis of the convergence and the derivation of error estimates for a parallel algorithm which is used to solve the incompressible Navier-Stokes equations. As usual, the main idea is to split the main differential operator; this allows to consider independently the two main difficulties, namely nonlinearity and incompressibility. The results justify the observed accuracy of related numerical results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Differential Equations and Numerical Analysis, University of Sevilla, Tarfia s/n, 41012 Sevilla, Spain; e-mail: cara@numer.us.es , , , , , , ES

    I. Albarreal & E. Fernández-Cara

  2. Department of Computational Science and Numerical Analysis, University of Córdoba, Campus de Rabanales, Ed. C2-3, 14071 Córdoba, Spain; e-mail: jlcruz@uco.es , , , , , , ES

    M.C. Calzada, J.L. Cruz, J. Galo & M. Marín

Authors
  1. I. Albarreal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M.C. Calzada
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J.L. Cruz
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. E. Fernández-Cara
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. J. Galo
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. M. Marín
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received April 20, 2001 / Revised version received May 21, 2001 / Published online March 8, 2002

RID="*"

ID="*" Partially supported by D.G.E.S. (Spain), Proyecto PB98–1134

RID="**"

ID="**" Partially supported by D.G.E.S. (Spain), Proyecto PB96–0986

RID="**"

ID="**" Partially supported by D.G.E.S. (Spain), Proyecto PB96–0986

RID="*"

ID="*" Partially supported by D.G.E.S. (Spain), Proyecto PB98–1134

RID="**"

ID="**" Partially supported by D.G.E.S. (Spain), Proyecto PB96–0986

RID="**"

ID="**" Partially supported by D.G.E.S. (Spain) Proyecto PB96–0986

Rights and permissions

Reprints and permissions

About this article

Cite this article

Albarreal, I., Calzada, M., Cruz, J. et al. Convergence analysis and error estimates for a parallel algorithm for solving the Navier-Stokes equations. Numer. Math. 93, 201–221 (2002). https://doi.org/10.1007/s002110100383

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002110100383

Search

Navigation