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• W2005047411 abstract "In this paper, we develop and analyze a general approach to preconditioning linear systems of equations arising from conforming finite element discretizations of H(curl, )- and H(div, )-elliptic variational problems. The preconditioners exclusively rely on solvers for discrete Poisson problems. We prove mesh-independent effectivity of the preconditioners by using the abstract theory of auxiliary space preconditioning. The main tools are discrete analogues of so-called regular decomposition results in the function spaces H(curl, ) and H(div, ). Our preconditioner for H(curl, ) is similar to an algorithm proposed in [R. Beck, Algebraic Multigrid by Component Splitting for Edge Elements on Simplicial Triangulations, Tech. rep. SC 99-40, ZIB, Berlin, Germany, 1999]." @default.
• W2005047411 created "2016-06-24" @default.
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• W2005047411 date "2007-01-01" @default.
• W2005047411 modified "2023-10-05" @default.
• W2005047411 title "Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces" @default.
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• W2005047411 doi "https://doi.org/10.1137/060660588" @default.
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