A fast Schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: A fast Schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations
zbMATH Open document ID: 0832.76068
author: W. Couzy
author: Michel O. Deville
published in: Journal of Computational Physics
publication date: 1995-04-05T00:00:00Z
review text: The incompressible Navier-Stokes equations discretized with spectral elements are considered in three dimensions. The Uzawa algorithm is applied to decouple the velocities from the pressure. Within pressure iteration, a Helmholtz equation has to be solved. By the Schur method, the equations for the interior nodes are separated from the equations at the interfaces, and fast diagonalization techniques can be applied to the interior variables. Several ways to deal with the resulting interface problems are discussed. Finally, a comparison is made with a more classical method.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 740615
zbMATH Keywords: Uzawa algorithm
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: interior variables
zbMATH Keywords: interface problems
reviewed by: Wilhelm Heinrichs
MaRDI profile type: Publication
full work available at URL: jcph.1995.1011
OpenAlex ID: W1970939088
DOI: 10.1006/JCPH.1995.1011
description: scientific article; zbMATH DE number 740615