In this paper, we consider a two-grid method for resolving the nonlinearity in finite element approximations of the equilibrium Navier-Stokes equations. We prove the convergence rate of the approximation obtained by this method. The two-grid method involves solving one small, nonlinear coarse mesh s
A two grid algorithm based on perturbation and homotopy methods
✍ Scribed by Rachid El Mokhtari; Jean-Marc Cadou; Michel Potier-Ferry
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- French
- Weight
- 63 KB
- Volume
- 330
- Category
- Article
- ISSN
- 1631-0721
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✦ Synopsis
In this paper, we propose a new class of bi-grid algorithm to solve large scale linear algebraic equations. This method is based on homotopy, perturbation technique and Padé approximants. To cite this article: R. El Mokhtari et al., C. R. Mecanique 330 (2002) 825-830. 2002 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS computational solid mechanics / mechanics of solids and structures Un algorithme bi-grille basé sur les techniques d'homotopie et de perturbation Résumé Dans cette Note nous proposons une nouvelle classe d'algorithme à deux grilles, pour résoudre les systèmes linéaires de grande taille. Cette méthode est basée sur des techniques d'homotopie et de perturbation et sur les approximants de Padé.
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