MADPACK: A family of abstract multigrid or multilevel solutions. The author gives a state-of-art description of the abstract multigrid package MADPACK (Multigrid-Aggregation-Disaggregation-PACKage). The package provides basic routines that allow us to build abstract multigrid methods for solving linear and nonlinear systems, possibly arizing from partial differential equations, possibly not. The author discusses three versions of the package, namely versions 2, 4, and 5. Version 2 is available through anonymous ftp from in the directory mgnet/madpack2. The advantages and disadvantages of the use of FORTRAN, C, and C++ are also discussed. The author favours a mixed language programming approach.

References in zbMATH (referenced in 19 articles , 1 standard article )

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  1. Benedusi, Pietro; Ferrari, Paola; Garoni, Carlo; Krause, Rolf; Serra-Capizzano, Stefano: Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation (2021)
  2. Lin, Tao; Sheen, Dongwoo: The immersed finite element method for parabolic problems using the Laplace transformation in time discretization (2013)
  3. Douglas, C.; Kim, I.; Lee, H.; Sheen, D.: Higher-order schemes for the Laplace transformation method for parabolic problems (2011)
  4. Wieners, Christian: A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing (2010)
  5. Lass, O.; Vallejos, M.; Borzi, A.; Douglas, C. C.: Implementation and analysis of multigrid schemes with finite elements for elliptic optimal control problems (2009)
  6. Aimi, A.; Diligenti, M.; Lunardini, F.: Panel clustering method and restriction matrices for symmetric Galerkin BEM (2005)
  7. Aimi, A.; Bassotti, L.; Diligenti, M.: Groups of congruences and restriction matrices (2003)
  8. Fournier, L.; Lanteri, S.: Multiplicative and additive parallel multigrid algorithms for the acceleration of compressible flow computations on unstructured meshes. (2001)
  9. Giddings, Thomas E.; Fish, Jacob: An algebraic two-level preconditioner for asymmetric, positive-definite systems (2001)
  10. Heise, Bodo; Jung, Michael: Efficiency, scalability, and robustness of parallel multilevel methods for nonlinear partial differential equations (1999)
  11. Ladev├Ęze, Pierre; Dureisseix, David: A new micro-macro computational strategy for structural analysis (1999)
  12. Douglas, C. C.: A sparse matrix approach to abstract multilevel solvers on serial and parallel computers (1996)
  13. Douglas, Craig C.: A review of numerous parallel multigrid methods (1996)
  14. Douglas, Craig C.: MADPACK: A family of abstract multigrid or multilevel solutions (1995)
  15. Douglas, Craig C.: A tupleware approach to domain decomposition methods (1991)
  16. Ortega, James M.; Voigt, Robert G.; Romine, Charles H.: A bibliography on parallel and vector numerical algorithms (1990)
  17. Stewart, A.; Shaw, G. J.: A parallel multigrid FAS scheme for transputer networks (1990)
  18. Douglas, Craig C.; Smith, Barry F.: Using symmetries and antisymmetries to analyze a parallel multigrid algorithm: The elliptic boundary value problem case (1989)
  19. Douglas, Craig C.; Miranker, Willard L.: Some nontelescoping parallel algorithms based on serial multigrid/aggregation/disaggregation techniques (1988)