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 282 articles )

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  1. Lathouwers, Danny; Perkó, Zoltán: An angular multigrid preconditioner for the radiation transport equation with Fokker-Planck scattering (2019)
  2. Benner, Peter; Qiu, Yue; Stoll, Martin: Low-rank eigenvector compression of posterior covariance matrices for linear Gaussian inverse problems (2018)
  3. Cifani, P.; Kuerten, J. G. M.; Geurts, B. J.: Highly scalable DNS solver for turbulent bubble-laden channel flow (2018)
  4. Esmaily, M.; Jofre, L.; Mani, A.; Iaccarino, G.: A scalable geometric multigrid solver for nonsymmetric elliptic systems with application to variable-density flows (2018)
  5. Fakharany, M.; Egorova, V. N.; Company, R.: Numerical valuation of two-asset options under jump diffusion models using Gauss-Hermite quadrature (2018)
  6. Franco, S. R.; Rodrigo, C.; Gaspar, F. J.; Pinto, M. A. V.: A multigrid waveform relaxation method for solving the poroelasticity equations (2018)
  7. Giani, Stefano: (HP)-adaptive \textitcelatusenriched discontinuous Galerkin method for second-order elliptic source problems (2018)
  8. Jeong, Darae; Kim, Junseok: A projection method for the conservative discretizations of parabolic partial differential equations (2018)
  9. 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)
  10. Nhan, Thái Anh; MacLachlan, Scott; Madden, Niall: Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems (2018)
  11. Abide, Stéphane; Zeghmati, Belkacem: Multigrid defect correction and fourth-order compact scheme for Poisson’s equation (2017)
  12. Cao, Fujun; Ge, Yongbin; Sun, Hai-Wei: Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection-diffusion problems (2017)
  13. Gaspar, Francisco J.; Rodrigo, Carmen: Multigrid waveform relaxation for the time-fractional heat equation (2017)
  14. Luo, P.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W.: On an Uzawa smoother in multigrid for poroelasticity equations. (2017)
  15. Mehlmann, C.; Richter, T.: A finite element multigrid-framework to solve the sea ice momentum equation (2017)
  16. Moghaderi, Hamid; Dehghan, Mehdi: Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations (2017)
  17. Tuerke, F.; Pastur, L.; Fraigneau, Y.; Sciamarella, D.; Lusseyran, F.; Artana, G.: Nonlinear dynamics and hydrodynamic feedback in two-dimensional double cavity flow (2017)
  18. Yang, Xiang; Mittal, Rajat: Efficient relaxed-Jacobi smoothers for multigrid on parallel computers (2017)
  19. Chacón, L.; Stanier, A.: A scalable, fully implicit algorithm for the reduced two-field low-(\beta) extended MHD model (2016)
  20. Eisenschmidt, Kathrin; Ertl, Moritz; Gomaa, Hassan; Kieffer-Roth, Corine; Meister, Christian; Rauschenberger, Philipp; Reitzle, Martin; Schlottke, Karin; Weigand, Bernhard: Direct numerical simulations for multiphase flows: an overview of the multiphase code FS3D (2016)

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