Multigrid Method With Adaptive IDR-Based Jacobi Smoother
نویسندگان
چکیده
منابع مشابه
A Parallel Adaptive Multigrid Method
SUMMARY A parallel version of an adaptive multigrid solver for elliptic partial diierential equations is described. It operates on a nite diierence discretization on quad-tree and oct-tree meshes, which are obtained by adaptive mesh reenement. A fast parallel load balancing strategy for the parallel multigrid equation solver is proposed that is deened by a space-lling Hilbert curve and is appli...
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Various forms of sparse approximate inverses (SAI) have been shown to be useful for preconditioning. Their potential usefulness in a parallel environment has motivated much interest in recent years. However, the capability of an approximate inverse in eliminating the local error has not yet been fully exploited in multigrid algorithms. A careful examination of the iteration matrices of these ap...
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In this paper, an iterative solution method for a fourth-order accurate discretization of the Helmholtz equation is presented. The method is a generalization of that presented in [10], where multigrid was employed as a preconditioner for a Krylov subspace iterative method. This multigrid preconditioner is based on the solution of a second Helmholtz operator with a complexvalued shift. In partic...
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Sparse grids have become an important tool to reduce the number of degrees of freedom of discretizations of moderately high-dimensional partial differential equations; however, the reduction in degrees of freedom comes at the cost of an almost dense and unconventionally structured system of linear equations. To guarantee overall efficiency of the sparse grid approach, special linear solvers are...
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Funding information China Scholarship Council (CSC), NDNS+PhD travel grant, DGA (Grupo consolidado PDIE), Grant/Award Number: FEDER/MCYT Projects MTM2013-40842-P, European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie, Grant/Award Number: 705402, POROSOS. Summary A poroelastic saturated medium can be modeled by means of Biot’s theory of consolidation. I...
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ژورنال
عنوان ژورنال: IEEE Transactions on Magnetics
سال: 2011
ISSN: 0018-9464,1941-0069
DOI: 10.1109/tmag.2010.2092754