Covolume Solutions of Three-Dimensional Div-Curl Equations

Roy A. Nicolaides; Xiaonan Wu

doi:10.1137/S0036142994277286

Covolume Solutions of Three-Dimensional Div-Curl Equations

Roy A. Nicolaides
, Xiaonan Wu

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

58 Citations (Scopus)

34 Downloads (Pure)

Abstract

The Voronoi-Delaunay mesh systems provide a generalization of the classical rectangular staggered meshes to unstructured meshes. In this work, it is shown how such "covolume" discretizations may be applied to div-curl systems in three dimensions. Error estimates are proved and confirmed by a numerical illustration.

Original language	English
Pages (from-to)	2195-2203
Number of pages	9
Journal	SIAM Journal on Numerical Analysis
Volume	34
Issue number	6
DOIs	https://doi.org/10.1137/S0036142994277286
Publication status	Published - Nov 1997

User-Defined Keywords

Div-curl systems
Incompressible fluid dynamics
Partial differential equations

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title = "Covolume Solutions of Three-Dimensional Div-Curl Equations",

abstract = "The Voronoi-Delaunay mesh systems provide a generalization of the classical rectangular staggered meshes to unstructured meshes. In this work, it is shown how such {"}covolume{"} discretizations may be applied to div-curl systems in three dimensions. Error estimates are proved and confirmed by a numerical illustration.",

keywords = "Div-curl systems, Incompressible fluid dynamics, Partial differential equations",

author = "Nicolaides, \{Roy A.\} and Xiaonan Wu",

note = "Funding information: Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 ([email protected]). This author was supported by the United States Air Force Office of Scientific Research under grants F49620-92-J-0133 and F49620-94-0311. Publisher copyright: Copyright {\textcopyright} 1997 Society for Industrial and Applied Mathematics",

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AU - Nicolaides, Roy A.

AU - Wu, Xiaonan

N1 - Funding information: Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 ([email protected]). This author was supported by the United States Air Force Office of Scientific Research under grants F49620-92-J-0133 and F49620-94-0311. Publisher copyright: Copyright © 1997 Society for Industrial and Applied Mathematics

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N2 - The Voronoi-Delaunay mesh systems provide a generalization of the classical rectangular staggered meshes to unstructured meshes. In this work, it is shown how such "covolume" discretizations may be applied to div-curl systems in three dimensions. Error estimates are proved and confirmed by a numerical illustration.

AB - The Voronoi-Delaunay mesh systems provide a generalization of the classical rectangular staggered meshes to unstructured meshes. In this work, it is shown how such "covolume" discretizations may be applied to div-curl systems in three dimensions. Error estimates are proved and confirmed by a numerical illustration.

KW - Div-curl systems

KW - Incompressible fluid dynamics

KW - Partial differential equations

UR - https://www.scopus.com/pages/publications/0001389991

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DO - 10.1137/S0036142994277286

M3 - Journal article

AN - SCOPUS:0001389991

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JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 6

ER -

Covolume Solutions of Three-Dimensional Div-Curl Equations

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