Coupling of two-dimensional hyperbolic and elliptic equations
type: Item
instance of: scholarly article
title: Coupling of two-dimensional hyperbolic and elliptic equations
zbMATH Open document ID: 0727.65091
DOI: 10.1016/0045-7825(90)90039-O
author: A. Quateroni
author: Sacchi G. Landriani
author: F. Gastaldi
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1990-01-01T00:00:00Z
review text: The problem of interfacing an elliptic equation with a hyperbolic one in adjoining two-dimensional domains is considered. An iterative algorithm alternating the solution of the elliptic equation and of the hyperbolic equation within the subdomains is proposed. A spectral Chebyshev collocation method is used to discretize the resulting subproblems. This approach is suitable for computational fluid dynamic problems.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35M20
zbMATH DE Number: 4201540
zbMATH Keywords: iterative algorithm
zbMATH Keywords: elliptic equation
zbMATH Keywords: hyperbolic equation
zbMATH Keywords: spectral Chebyshev collocation method
Wikidata QID: Q56996666
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
cites work: Q3482987
cites work: On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach
cites work: Q3493138
cites work: Q4039908
full work available at URL: 0045-7825(90)90039-o
OpenAlex ID: W2083713291
description: scientific article; zbMATH DE number 4201540