HSL_MI20
HSL_MI20: an efficient AMG preconditioner for finite element problems in 3D. Algebraic multigrid (AMG) is one of the most effective iterative methods for the solution of large, sparse linear systems obtained from the discretization of second-order scalar elliptic self-adjoint partial differential equations. It can also be used as a preconditioner for Krylov subspace methods. In this communication, we report on the design and development of a robust, effective and portable Fortran 95 implementation of the classical Ruge-St”uben AMG, which is available as package HSL_MI20 within the HSL mathematical software library. The routine can be used as a `black-box’ preconditioner, but it also offers the user a range of options and parameters. Proper tuning of these parameters for a particular application can significantly enhance the performance of an AMG-preconditioned Krylov solver. This is illustrated using a number of examples arising in the unstructured finite element discretization of the diffusion, the convection-diffusion, and the Stokes equations, as well as transient thermal convection problems associated with the Boussinesq approximation of the Navier-Stokes equations in 3D.
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References in zbMATH (referenced in 41 articles , 1 standard article )
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- Wu, Yirong; Wang, Heyu: An AMG preconditioner for solving the Navier-Stokes equations with a moving mesh finite element method (2016)
- Pearson, John W.: On the development of parameter-robust preconditioners and commutator arguments for solving Stokes control problems (2015)
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