A modified nonlinear Galerkin method for the viscoelastic fluid motion equations

    Authors

    J. R. Cannon; R. E. Ewing; Y. N. He;Y. P. Lin

    Comments

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    Abbreviated Journal Title

    Int. J. Eng. Sci.

    Keywords

    viscoelastic fluid motion equations; modified nonlinear Galerkin method; Galerkin method; convergence rate; Engineering, Multidisciplinary

    Abstract

    In this article we first provide a priori estimates of the solution for the nonstationary two-dimensional viscoelastic fluid motion equations with periodic boundary condition. We then present an modified nonlinear Galerkin method for solving such equations. By comparing the convergence rates of the proposed method with the standard Galerkin method, we conclude that the modified nonlinear Galerkin method is better than the standard Galerkin method because the former can save a large amount of computational work and maintain the convergence rate of the latter. (C) 1999 Elsevier Science Ltd. All rights reserved.

    Journal Title

    International Journal of Engineering Science

    Volume

    37

    Issue/Number

    13

    Publication Date

    1-1-1999

    Document Type

    Article

    Language

    English

    First Page

    1643

    Last Page

    1662

    WOS Identifier

    WOS:000082685700001

    ISSN

    0020-7225

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