A flexible inner-outer preconditioned GMRES algorithm
SIAM Journal on Scientific Computing
Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
A combined unifrontal/multifrontal method for unsymmetric sparse matrices
ACM Transactions on Mathematical Software (TOMS)
Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
SIAM Journal on Scientific Computing
Using MPI (2nd ed.): portable parallel programming with the message-passing interface
Using MPI (2nd ed.): portable parallel programming with the message-passing interface
Templates for the solution of algebraic eigenvalue problems: a practical guide
Templates for the solution of algebraic eigenvalue problems: a practical guide
Parallel computation of flow in heterogeneous media modelled by mixed finite elements
Journal of Computational Physics
A Preconditioner for the Steady-State Navier--Stokes Equations
SIAM Journal on Scientific Computing
A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations
Applied Numerical Mathematics - Numerical algorithms, parallelism and applications
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We describe the construction of parallel iterative solvers for finite element approximations of the Navier-Stokes equations on unstructured grids using domain decomposition methods. The iterative method used is FGMRES, preconditioned by a parallel adaptation of a recent block preconditioner proposed by Kay, Loghin and Wathen. The parallelisation is achieved by adapting the technology of our domain decomposition solver DOUG (previously used for scalar problems) to block-systems. An application of the resultant linear solver to the stability assessment of flows is briefly indicated.