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 314 articles )

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  1. Hu, Xiaozhe; Rodrigo, Carmen; Gaspar, Francisco J.: Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation (2020)
  2. Pazner, Will: Efficient low-order refined preconditioners for high-order matrix-free continuous and discontinuous Galerkin methods (2020)
  3. 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)
  4. Arrarás, Andrés; Gaspar, Francisco J.; Portero, Laura; Rodrigo, Carmen: Mixed-dimensional geometric multigrid methods for single-phase flow in fractured porous media (2019)
  5. Brown, Jed; He, Yunhui; Maclachlan, Scott: Local Fourier analysis of balancing domain decomposition by constraints algorithms (2019)
  6. De La Riva, Alvaro Pe; Rodrigo, Carmen; Gaspar, Francisco J.: A robust multigrid solver for isogeometric analysis based on multiplicative Schwarz smoothers (2019)
  7. de Prenter, F.; Verhoosel, C. V.; van Brummelen, E. H.: Preconditioning immersed isogeometric finite element methods with application to flow problems (2019)
  8. Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.; Rivière, Béatrice M.: Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method (2019)
  9. Lathouwers, Danny; Perkó, Zoltán: An angular multigrid preconditioner for the radiation transport equation with Fokker-Planck scattering (2019)
  10. Shao, Wenting; Sun, Shi; Wang, Yingwei: An economical cascadic multigrid method for the weak Galerkin finite element approximation of second order elliptic problems (2019)
  11. Vorozhtsov, Evgenii V.; Shapeev, Vasily P.: On the efficiency of combining different methods for acceleration of iterations at the solution of PDEs by the method of collocations and least residuals (2019)
  12. Benner, Peter; Qiu, Yue; Stoll, Martin: Low-rank eigenvector compression of posterior covariance matrices for linear Gaussian inverse problems (2018)
  13. Cifani, P.; Kuerten, J. G. M.; Geurts, B. J.: Highly scalable DNS solver for turbulent bubble-laden channel flow (2018)
  14. Esmaily, M.; Jofre, L.; Mani, A.; Iaccarino, G.: A scalable geometric multigrid solver for nonsymmetric elliptic systems with application to variable-density flows (2018)
  15. Fakharany, M.; Egorova, V. N.; Company, R.: Numerical valuation of two-asset options under jump diffusion models using Gauss-Hermite quadrature (2018)
  16. Franco, Sebastião Romero; Gaspar, Francisco José; Villela Pinto, Marcio Augusto; Rodrigo, Carmen: Multigrid method based on a space-time approach with standard coarsening for parabolic problems (2018)
  17. Franco, S. R.; Rodrigo, C.; Gaspar, F. J.; Pinto, M. A. V.: A multigrid waveform relaxation method for solving the poroelasticity equations (2018)
  18. Giani, Stefano: (HP)-adaptive \textitcelatusenriched discontinuous Galerkin method for second-order elliptic source problems (2018)
  19. Jeong, Darae; Kim, Junseok: A projection method for the conservative discretizations of parabolic partial differential equations (2018)
  20. Kozelkov, A. S.; Lashkin, S. V.; Efremov, V. R.; Volkov, K. N.; Tsibereva, Yu. A.; Tarasova, N. V.: An implicit algorithm of solving Navier-Stokes equations to simulate flows in anisotropic porous media (2018)

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