An application of partition method for solving 3D Stokes equation

DOI10.1016/j.camwa.2015.04.025zbMath1443.65123OpenAlexW346910584MaRDI QIDQ2006561

Marcin Paprzycki, Krassimir Georgiev, Maria Ganzha, I. D. Lirkov

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.04.025

zbMATH Keywords

incompressible flowsparallel algorithmADINavier-Stokestime splitting

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05)

Uses Software

• LAPACK
• MPI

Cites Work

• A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations
• A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting
• Divide and conquer: A parallel algorithm for the solution of a tridiagonal linear system of equations
• Parallel factorizations and parallel solvers for tridiagonal linear systems
• LAPACK Users' Guide
• A Parallel Method for Tridiagonal Equations
• Parallel Factorizations for Tridiagonal Matrices
• On the Stability of a Partitioning Algorithm for Tridiagonal Systems
• Diagonal Dominance in the Parallel Partition Method for Tridiagonal Systems
• Alternating-Direction Line-Relaxation Methods on Multicomputers
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations

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