Title

A Modified Nonlinear Galerkin Method For The Viscoelastic Fluid Motion Equations

Keywords

Convergence rate; Galerkin method; Modified nonlinear Galerkin method; Viscoelastic fluid motion equations

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 non-linear 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. © 1999 Elsevier Science Ltd. All rights reserved.

Publication Date

9-14-1999

Publication Title

International Journal of Engineering Science

Volume

37

Issue

13

Number of Pages

1643-1662

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/s0020-7225(98)00142-6

Socpus ID

0037855869 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0037855869

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