Iterative solution with AGgregation-based algebraic MultiGrid. AGMG implements an aggregation-based algebraic multigrid method. This method solves algebraic systems of linear equations, and is expected to be efficient for large systems arising from the discretization of scalar second order elliptic PDEs. The method is however purely algebraic and may be tested on any problem. No information has to be supplied besides the system matrix and the right-hand-side. AGMG comes either as a function that may be called from Matlab environment, or as a Fortran 90 subroutine that may be linked with an application program. Both versions have been designed to be easy to use by non experts (in a black box fashion). The Matlab version accepts real and complex matrices, whereas the Fortran version is available in the four standard arithmetics (real, double precision, complex, double complex). A Fortran 90 parallel implementation is also provided.

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  1. Botchev, Mikhail A.: Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling (2016)
  2. Napov, Artem; Notay, Yvan: An efficient multigrid method for graph Laplacian systems (2016)
  3. Notay, Yvan: A new algebraic multigrid approach for Stokes problems (2016)
  4. Palitta, Davide; Simoncini, Valeria: Matrix-equation-based strategies for convection-diffusion equations (2016)
  5. Pearson, John W.: Fast iterative solvers for large matrix systems arising from time-dependent Stokes control problems (2016)
  6. Axelsson, Owe; Blaheta, Radim; Byczanski, Petr; Karátson, János; Ahmad, Bashir: Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems (2015)
  7. Chen, Meng-Huo; Greenbaum, Anne: Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem. (2015)
  8. Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia: Preconditioning of active-set Newton methods for PDE-constrained optimal control problems (2015)
  9. Axelsson, Owe; Neytcheva, Maya; Ahmad, Bashir: A comparison of iterative methods to solve complex valued linear algebraic systems (2014)
  10. Boyanova, P.; Neytcheva, M.: Efficient numerical solution of discrete multi-component Cahn-Hilliard systems (2014)
  11. Axelsson, Owe: Preconditioners for some matrices of two-by-two block form, with applications. I (2013)
  12. Notay, Yvan: Aggregation-based algebraic multigrid for convection-diffusion equations (2012)
  13. Pennacchio, Micol; Simoncini, Valeria: Fast structured AMG preconditioning for the bidomain model in electrocardiology (2011)