On efficient direct methods for conforming spectral domain decomposition techniques

DOI10.1016/0377-0427(90)90364-6zbMath0708.76047OpenAlexW2077278711MaRDI QIDQ920729

Timothy N. Phillips, Andreas Karageorghis

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90364-6

zbMATH Keywords

Stokes flowrectangularly decomposable domainsconforming spectral domain decomposition techniquedirect solution procedures

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (4)

Mass- and momentum-conserving spectral methods for Stokes flow ⋮ A modified Chebyshev pseudospectral DD algorithm for the GBH equation ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ An efficient direct method for fully conforming spectral collocation schemes

Uses Software

• NAG
• COLROW
• ARCELO

Cites Work

• Unnamed Item
• Codes for almost block diagonal systems
• Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains
• Improvements in spectral collocation discretization through a multiple domain technique
• Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains
• A conforming spectral collocation strategy for Stokes flow through a channel contraction
• FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination
• Efficient Direct Methods for Solving the Spectral Collocation Equations for Stokes Flow in Rectangularly Decomposable Domains
• Alternate Row and Column Elimination for Solving Certain Linear Systems
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions

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