A single processor public domain Fortran-77 code written by Pieter Wesseling. The file mglab.for is a tutorial multigrid program. It solves elliptic boundary values in one dimension. The user may choose various multigrid cycles, transfer operators, smoothing methods, and nested iteration, and defect correction. Cell centered and vertex centered discretization and multigrid is included. Documentation is included in the program. The program is written in portable Fortran-77, and has run on MS-DOS PC’s and Unix based computers. The methods used are fully described in the following book: An Introduction to Multigrid Methods, Wiley, Chichester, 1992 by P. Wesseling.

References in zbMATH (referenced in 304 articles )

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  1. Zhang, Jun: Residual scaling techniques in multigrid. I: Equivalence proof (1997)
  2. Zhang, Jun: Minimal residual smoothing in multi-level iterative method (1997)
  3. de Zeeuw, Paul M.: Development of semi-coarsening techniques (1996)
  4. Glowinski, Roland; Rieder, Andreas; Wells, Raymond O. jun.; Zhou, Xiaodong: A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domains (1996)
  5. Molenaar, J.: A simple cell-centered multigrid method for 3D interface problems (1996)
  6. Pardhanani, Anand L.; Carey, Graham F.: Efficient simulation of complex patterns in reaction-diffusion systems (1996)
  7. Reusken, A.: On a robust multigrid solver (1996)
  8. Ta’asan, Shlomo; Zhang, Hong: Fourier-Laplace analysis of the multigrid waveform relaxation method for hyperbolic equations (1996)
  9. Wille, S.Ø.: The prolonged adaptive multigrid method for finite element Navier-Stokes equations (1996)
  10. Zhang, Jun: A cost-effective multigrid projection operator (1996)
  11. Zhang, Jun: Acceleration of five-point red-black Gauss-Seidel in multigrid for Poisson equation (1996)
  12. Braess, Dietrich: Towards algebraic multigrid for elliptic problems of second order (1995)
  13. Koren, B.; van Leer, B.: Analysis of preconditioning and multigrid for Euler flows with low- subsonic regions (1995)
  14. Kuerten, H.; Geurts, B.: Multigrid acceleration of a block structured compressible flow solver (1995)
  15. Mavriplis, D. J.; Venkatakrishnan, V.: Agglomeration multigrid for two-dimensional viscous flows (1995)
  16. Oosterlee, C. W.: The convergence of parallel multiblock multigrid methods (1995)
  17. Oosterlee, C. W.; Wesseling, P.: On the robustness of a multiple semi-coarsened grid method (1995)
  18. Stynes, Martin: Finite volume methods for convection-diffusion problems (1995)
  19. Vandewalle, S.; Horton, G.: Fourier mode analysis of the multigrid waveform relaxation and time- parallel multigrid methods (1995)
  20. Zeng, S.; Vuik, C.; Wesseling, P.: Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods (1995)

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