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 217 articles )

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  1. Fakharany, M.; Company, R.; Jódar, L.: Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes (2016)
  2. Gander, Martin J.; Neumüller, Martin: Analysis of a new space-time parallel multigrid algorithm for parabolic problems (2016)
  3. Ludwig, E.; Nabben, R.; Tang, J.M.: Deflation and projection methods applied to symmetric positive semi-definite systems (2016)
  4. Moghaderi, Hamid; Dehghan, Mehdi; Hajarian, Masoud: A fast and efficient two-grid method for solving $d$-dimensional Poisson equations (2016)
  5. Pinto, M.A.V.; Rodrigo, C.; Gaspar, F.J.; Oosterlee, C.W.: On the robustness of ILU smoothers on triangular grids (2016)
  6. Ramage, Alison; Sonnet, André M.: Computational fluid dynamics for nematic liquid crystals (2016)
  7. Rodrigo, Carmen: Poroelasticity problem: numerical difficulties and efficient multigrid solution (2016)
  8. Rodrigo, C.; Gaspar, F.J.; Lisbona, F.J.: On a local Fourier analysis for overlapping block smoothers on triangular grids (2016)
  9. 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)
  10. Bosch, Jessica; Stoll, Martin: Preconditioning for vector-valued Cahn-Hilliard equations (2015)
  11. Brune, Peter R.; Knepley, Matthew G.; Smith, Barry F.; Tu, Xuemin: Composing scalable nonlinear algebraic solvers (2015)
  12. Keilegavlen, Eirik; Nordbotten, Jan M.: Inexact linear solvers for control volume discretizations in porous media (2015)
  13. Oleksy, Marta; Cecot, Witold: Application of $hp$-adaptive finite element method to two-scale computation (2015)
  14. Rauschenberger, P.; Weigand, B.: Direct numerical simulation of rigid bodies in multiphase flow within an Eulerian framework (2015)
  15. Chen, Minghua; Wang, Yantao; Cheng, Xiao; Deng, Weihua: Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation (2014)
  16. Li, Yongchao; Cai, Cheng; Qiu, Guoping; Lam, Kin-Man: Face hallucination based on sparse local-pixel structure (2014)
  17. Rodrigo, C.; Salinas, P.; Gaspar, F.J.; Lisbona, F.J.: Local Fourier analysis for cell-centered multigrid methods on triangular grids (2014)
  18. Sun, Li; Chen, Ke: A new iterative algorithm for mean curvature-based variational image denoising (2014)
  19. Beaudoin, A.; De Dreuzy, J.-R.; Erhel, J.; Pichot, G.: Convergence analysis of macro spreading in 3D heterogeneous porous media (2013)
  20. Cheng, Jing-Ru C.; Huang, Xue-Hai; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song; Zhang, Shuo; Zhou, Zhiyang: Application of an energy-minimizing algebraic multigrid method for subsurface water simulations (2013)

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