A spectral multidomain method for the solution of hyperbolic systems
type: Item
instance of: scholarly article
title: A spectral multidomain method for the solution of hyperbolic systems
zbMATH Open document ID: 0601.76087
DOI: 10.1016/0168-9274(86)90030-9
author: David A. Kopriva
published in: Applied Numerical Mathematics
publication date: 1986-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/2060/19860017518
review text: A multidomain Chebyshev spectral collocation method for solving hyperbolic partial differential equations has been developed. Though spectral methods are global methods, an attractive idea is to break a computational domain into several subdomains, and a way to handle the interfaces is described. The multidomain approach offers advantages over the use of a single Chebyshev grid. It allows complex geometries to be covered, and local refinement can be used to resolve important features. For steady-state problems it reduces the stiffness associated with the use of explicit time integration as a relaxation scheme. Furthermore, the proposed method remains spectrally accurate. Results showing performance of the method on one-dimensional linear models and one- and two- dimensional nonlinear gas-dynamics problems are presented.
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 3970364
zbMATH Keywords: multidomain Chebyshev spectral collocation method
zbMATH Keywords: hyperbolic partial differential equations
zbMATH Keywords: multidomain approach
zbMATH Keywords: Chebyshev grid
zbMATH Keywords: local refinement
zbMATH Keywords: steady-state problems
zbMATH Keywords: stiffness
zbMATH Keywords: time integration
zbMATH Keywords: relaxation scheme
zbMATH Keywords: one-dimensional linear models
zbMATH Keywords: nonlinear gas-dynamics problems
MaRDI profile type: Publication
OpenAlex ID: W2069879986
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description: scientific article; zbMATH DE number 3970364