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 327 articles )

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  1. Brown, Jed; He, Yunhui; MacLachlan, Scott; Menickelly, Matt; Wild, Stefan M.: Tuning multigrid methods with robust optimization and local Fourier analysis (2021)
  2. Feng, Hongsong; Long, Guangqing; Zhao, Shan: FFT-based high order central difference schemes for Poisson’s equation with staggered boundaries (2021)
  3. Jomo, J.; Oztoprak, O.; de Prenter, F.; Zander, N.; Kollmannsberger, S.; Rank, E.: Hierarchical multigrid approaches for the finite cell method on uniform and multi-level (h p)-refined grids (2021)
  4. Li, Junpu; Gu, Yan; Qin, Qing-Hua; Zhang, Lan: The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm (2021)
  5. Liu, Jialin; Yin, Wotao; Li, Wuchen; Chow, Yat Tin: Multilevel optimal transport: a fast approximation of Wasserstein-1 distances (2021)
  6. Martynenko, S. I.: Numerical solving of boundary value problems on multiblock grids (2021)
  7. Zhang, Lin; Ge, Yongbin: Numerical solution of nonlinear advection diffusion reaction equation using high-order compact difference method (2021)
  8. De Prenter, F.; Verhoosel, C. V.; van Brummelen, E. H.; Evans, J. A.; Messe, C.; Benzaken, J.; Maute, K.: Multigrid solvers for immersed finite element methods and immersed isogeometric analysis (2020)
  9. Fabien, Maurice S.: A GPU-accelerated hybridizable discontinuous Galerkin method for linear elasticity (2020)
  10. Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J.: Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation (2020)
  11. Mundewadi, R. A.; Mundewadi, B. A.; Kantli, M. H.: Iterative scheme of integral and integro-differential equations using Daubechies wavelets new transform method (2020)
  12. Pazner, Will: Efficient low-order refined preconditioners for high-order matrix-free continuous and discontinuous Galerkin methods (2020)
  13. Shiralashetti, S. C.; Angadi, L. M.; Deshi, A. B.: Numerical solution of some class of nonlinear partial differential equations using wavelet-based full approximation scheme (2020)
  14. Vorozhtsov, Evgeniĭ Vasil’evich; Shapeev, Vasiliĭ Pavlovich: A divergence-free method of collocations and least squares for the computation of incompressible fluid flows and its efficient implementation (2020)
  15. Arrarás, Andrés; Gaspar, Francisco J.; Portero, Laura; Rodrigo, Carmen: Mixed-dimensional geometric multigrid methods for single-phase flow in fractured porous media (2019)
  16. Brown, Jed; He, Yunhui; Maclachlan, Scott: Local Fourier analysis of balancing domain decomposition by constraints algorithms (2019)
  17. Clarke, Lauren Elizabeth; Krishnamoorthy, Gautham: Pre-conditioning strategies to accelerate the convergence of iterative methods in multiphase flow simulations (2019)
  18. De La Riva, Alvaro Pe; Rodrigo, Carmen; Gaspar, Francisco J.: A robust multigrid solver for isogeometric analysis based on multiplicative Schwarz smoothers (2019)
  19. de Prenter, F.; Verhoosel, C. V.; van Brummelen, E. H.: Preconditioning immersed isogeometric finite element methods with application to flow problems (2019)
  20. Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.; Rivière, Béatrice M.: Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method (2019)

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