A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations

DOI10.1016/j.apnum.2003.11.015zbMath1066.76515OpenAlexW1984085844MaRDI QIDQ1826607

Eero Vainikko, Ivan G. Graham

Publication date: 6 August 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2003.11.015

zbMATH Keywords

Partial differential equationsDomain decompositionIncompressible Navier-Stokes equationsParallel iterative methods

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05)

Uses Software

• pARMS
• METIS
• ARPACK
• DOUG

Cites Work

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• Automatic domain decomposition on unstructured grids (DOUG)
• Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
• ARPACK Users' Guide
• Parallel iterative methods for Navier–Stokes equations and application to eigenvalue computation
• A combined unifrontal/multifrontal method for unsymmetric sparse matrices
• A Preconditioner for the Steady-State Navier--Stokes Equations
• Fast Nonsymmetric Iterations and Preconditioning for Navier–Stokes Equations
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• pARMS: a parallel version of the algebraic recursive multilevel solver
• Parallel computation of flow in heterogeneous media modelled by mixed finite elements
• Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow

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