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 256 articles )

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  1. Fakharany, M.; Egorova, V.N.; Company, R.: Numerical valuation of two-asset options under jump diffusion models using Gauss-Hermite quadrature (2018)
  2. Abide, Stéphane; Zeghmati, Belkacem: Multigrid defect correction and fourth-order compact scheme for Poisson’s equation (2017)
  3. Gaspar, Francisco J.; Rodrigo, Carmen: Multigrid waveform relaxation for the time-fractional heat equation (2017)
  4. Luo, P.; Rodrigo, C.; Gaspar, F.J.; Oosterlee, C.W.: On an Uzawa smoother in multigrid for poroelasticity equations. (2017)
  5. Moghaderi, Hamid; Dehghan, Mehdi: Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations (2017)
  6. Chacón, L.; Stanier, A.: A scalable, fully implicit algorithm for the reduced two-field low-$\beta$ extended MHD model (2016)
  7. Fakharany, M.; Company, R.; Jódar, L.: Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes (2016)
  8. Gander, Martin J.; Neumüller, Martin: Analysis of a new space-time parallel multigrid algorithm for parabolic problems (2016)
  9. Kehl, René; Nabben, Reinhard: Avoiding singular coarse grid systems (2016)
  10. Ludwig, E.; Nabben, R.; Tang, J.M.: Deflation and projection methods applied to symmetric positive semi-definite systems (2016)
  11. Moghaderi, Hamid; Dehghan, Mehdi; Hajarian, Masoud: A fast and efficient two-grid method for solving $d$-dimensional Poisson equations (2016)
  12. Pinto, M.A.V.; Rodrigo, C.; Gaspar, F.J.; Oosterlee, C.W.: On the robustness of ILU smoothers on triangular grids (2016)
  13. Ramage, Alison; Sonnet, André M.: Computational fluid dynamics for nematic liquid crystals (2016)
  14. Rodrigo, Carmen: Poroelasticity problem: numerical difficulties and efficient multigrid solution (2016)
  15. Rodrigo, C.; Gaspar, F.J.; Lisbona, F.J.: On a local Fourier analysis for overlapping block smoothers on triangular grids (2016)
  16. Shapeev, Vasily P.; Vorozhtsov, Evgenii V.: Symbolic-numerical optimization and realization of the method of collocations and least residuals for solving the Navier-Stokes equations (2016)
  17. Tuminaro, R.; Perego, M.; Tezaur, I.; Salinger, A.; Price, S.: A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling (2016)
  18. Bosch, Jessica; Stoll, Martin: Preconditioning for vector-valued Cahn-Hilliard equations (2015)
  19. Brune, Peter R.; Knepley, Matthew G.; Smith, Barry F.; Tu, Xuemin: Composing scalable nonlinear algebraic solvers (2015)
  20. Jewprasert, Sopida; Chumchob, Noppadol; Chantrapornchai, Chantana: A fourth-order compact finite difference scheme for higher-order PDE-based image registration (2015)

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