A note on cyclic reduction Poisson solvers with application to bioconvective phenomena problems

DOI10.1016/0045-7930(89)90035-2zbMath0674.76120OpenAlexW2053234651MaRDI QIDQ1121751

Masataka Watanabe, Issei Fujishiro, Akira Harashima, Yasuhiko Ikebe

Publication date: 1989

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(89)90035-2

zbMATH Keywords

error analysisDirichlet boundary conditiondiscrete Poisson equationbioconvective phenomenon simulation

Mathematics Subject Classification ID

Diffusion and convection (76R99) Basic methods in fluid mechanics (76M99) Biopropulsion in water and in air (76Z10)

Related Items (1)

Comparison of performance of three parallel versions of the block cyclic reduction algorithm for solving linear elliptic partial differential equations

Cites Work

• Inversion of Lewis' Poisson operator
• A direct Method for the Discrete Solution of Separable Elliptic Equations
• Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A Cyclic Reduction Algorithm for Solving Block Tridiagonal Systems of Arbitrary Dimension
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• The Direct Solution of the Discrete Poisson Equation on a Rectangle
• On Direct Methods for Solving Poisson’s Equations
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
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