An implementation of the streamline-upwind/Petrov-Galerkin method for linear triangular elements
type: Item
instance of: scholarly article
title: An implementation of the streamline-upwind/Petrov-Galerkin method for linear triangular elements
zbMATH Open document ID: 0546.76024
DOI: 10.1016/0045-7825(85)90131-8
author: Akira Mizukami
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1985-01-01T00:00:00Z
review text: The weighting function of the streamline-upwind/Petrov-Galerkin method contains a coefficient which has the dimension of time and is a function of element parameters (e.g. element dimension, element Peclet number, etc.). In this paper a formula for the coefficient applicable to linear triangular elements is presented. The formula does not consist of the individual element parameters but rather of the element matrices only, and so it is not only simple but also cost-effective. The validity of the formula is shown by several test problems and numerical examples.
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3870807
zbMATH Keywords: weighting function
zbMATH Keywords: streamline-upwind/Petrov-Galerkin method
zbMATH Keywords: element dimension
zbMATH Keywords: element Peclet number
zbMATH Keywords: linear triangular elements
MaRDI profile type: Publication
full work available at URL: 0045-7825(85)90131-8
OpenAlex ID: W2032569603
cites work: Q3857926
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
cites work: Q4151103
cites work: Q4746757
cites work: Finite element methods for second order differential equations with significant first derivatives
cites work: Q3877290
description: scientific article; zbMATH DE number 3870807