A simple scheme for the finite element solution of a pure advection equation
type: Item
instance of: scholarly article
title: A simple scheme for the finite element solution of a pure advection equation
zbMATH Open document ID: 0932.76038
author: K. Appert
published in: Computational Mechanics
publication date: 2000-03-08T00:00:00Z
review text: The paper deals with the finite element solution of an advection equation. The method of characteristic lines is combined with the finite element method, and three interpolating functions are employed: a cubic, a quadratic and a linear polynomial. The proposed scheme is also combined with a limiting procedure for suppression of numerical oscillations. The method is tested through four numerical examples: the advection of a box-shaped profile, the advection of an elliptic profile, the rotation of a cosine-shaped hill, and the advection of a square-shaped hill.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76R99
zbMATH DE Number: 1281730
zbMATH Keywords: advection of box-shaped profile
zbMATH Keywords: advection of elliptic profile
zbMATH Keywords: rotation of cosine-shaped hill
zbMATH Keywords: advection of square-shaped hill
zbMATH Keywords: method of characteristic lines
zbMATH Keywords: interpolating functions
zbMATH Keywords: limiting procedure
zbMATH Keywords: suppression of numerical oscillations
MaRDI profile type: Publication
full work available at URL: s004660050362
OpenAlex ID: W1971532059
DOI: 10.1007/S004660050362
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description: scientific article; zbMATH DE number 1281730