Add to ORKGAbstract. A nite element method with optimal convergence on non-smooth three dimensional domains requires anisotropic mesh renement towards the edges. Multigrid methods for anisotropic tensor product meshes are available and are based either on line (or plane) smoothers or on semi-coarsening strategies. In this paper we suggest and analyze a new multigrid scheme combining semi-coarsening and line smoothers to obtain a solver of optimal algorithmic complexity for anisotropic meshes along edges. Key Words. Multigrid, line Jacobi smoother, edge singularity, anisotropic mesh AMS(MOS) subject classication. 65N55
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Standard multigrid methods are not well suited for problems with anisotropic discrete operators, whi...
An efficient multigrid finite element method for vector problems on triangular anisotropic semi‐stru...
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Multigrid efficiency often suffers from inadequate coarse grid correction in different prototypic si...
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International audienceThis paper describes an algorithm designed for the automatic coarsening of thr...
In this paper, motivated by applications to multigrid, we present families of anisotropic, bivariate...
Standard multigrid methods are not well suited for problems with anisotropic discrete operators, whi...
An efficient multigrid finite element method for vector problems on triangular anisotropic semi‐stru...
We discuss the behavior of several plane relaxation methods as multigrid smoothers for the solution ...
Efficient and robust multigrid solvers for anisotropic problems typically use either semi-coarsened ...
Multigridmethods are fast iterative solvers for sparse large ill-conditioned linear systems of equat...
Abstract: Parallel multigrid method for elliptic difference equations. Anisotropic diffusi...
Abstract—This paper discusses robustness of the multigrid (MG) method against distortion of finite e...
Over the years, multigrid has been demonstrated as an efficient technique for solving inviscid flow ...
AbstractMultigrid methods are highly efficient solution techniques for large sparse multilevel Toepl...
Anisotropic mesh adaptation techniques have been shown to be very efficient in the last decade with ...
. An algebraic multigrid algorithm for symmetric, positive definite linear systems is developed base...
Multigrid efficiency often suffers from inadequate coarse grid correction in different prototypic si...
This work presents techniques, theory and numbers for multigrid in a general d-dimensional setting. ...
International audienceThis paper describes an algorithm designed for the automatic coarsening of thr...
In this paper, motivated by applications to multigrid, we present families of anisotropic, bivariate...
Standard multigrid methods are not well suited for problems with anisotropic discrete operators, whi...