On a decoupled algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow
type: Item
instance of: scholarly article
title: On a decoupled algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow
zbMATH Open document ID: 0838.76044
published in: Numerische Mathematik
publication date: 1996-06-09T00:00:00Z
review text: The aim is to study a decoupled fixed point algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow obeying the Oldroyd B differential model. The method consists in solving alternatively a transport equation for the stress, and a Stokes-like problem for velocity and pressure. We show that the mapping of the decoupled fixed point algorithm is locally contracting, and we obtain existence and unicity (locally) of the solution of the approximate problem and error bounds.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 839156
zbMATH Keywords: contracting mapping
zbMATH Keywords: Stokes problem for velocity and pressure
zbMATH Keywords: transport equation for stress
zbMATH Keywords: Oldroyd B differential model
zbMATH Keywords: error bounds
author: Khalid Najib
author: Dominique Sandri
MaRDI profile type: Publication
full work available at URL: s002110050167
OpenAlex ID: W2073511968
DOI: 10.1007/S002110050167
description: scientific article; zbMATH DE number 839156