Cell-centered multigrid for interface problems
Journal of Computational Physics
Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
Journal of Computational and Applied Mathematics
On the order of prolongations and restrictions in multigrid procedures
Journal of Computational and Applied Mathematics
Vertex-centered and cell-centered multigrid for interface problems
Journal of Computational Physics
Coarse-Grid Correction for Nonelliptic and Singular Perturbation Problems
SIAM Journal on Scientific Computing
V-Cycle Multigrid for Cell-Centered Finite Differences
SIAM Journal on Scientific Computing
A multigrid tutorial: second edition
A multigrid tutorial: second edition
A review of algebraic multigrid
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
Multigrid
BoomerAMG: a parallel algebraic multigrid solver and preconditioner
Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss
AGGLOMERATION MULTIGRID FOR VISCOUS TURBULENT FLOWS
AGGLOMERATION MULTIGRID FOR VISCOUS TURBULENT FLOWS
A Massively Parallel Multigrid Method for Finite Elements
Computing in Science and Engineering
Efficient geometric multigrid implementation for triangular grids
Journal of Computational and Applied Mathematics
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This paper is focused on the numerical solution of elliptic equations with discontinuous coefficients. In particular, the design of efficient geometric multigrid methods for cell-centered finite volume schemes for this kind of problems is dealt with. In this work we propose a block-wise multigrid algorithm on semi-structured triangular grids for solving piecewise constant diffusivity problems on relatively complex domains. Appropriate novel smoothers for cell-centered discretizations are considered on each structured patch of the mesh. The difficulties appearing when highly varying coefficients occur are overcome by the use of a modified Galerkin coarse grid approximation. Numerical experiments are presented to illustrate the good behavior of the proposed multigrid method which achieves an h-independent convergence rate.