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Cascadic Multigrid in a Spectral‐Element Context
Author(s) -
Huismann Immo,
Stiller Jörg,
Fröhlich Jochen
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610409
Subject(s) - multigrid method , solver , krylov subspace , context (archaeology) , mathematics , computer science , reduction (mathematics) , finite element method , helmholtz free energy , mathematical optimization , computational complexity theory , computational science , model order reduction , computational fluid dynamics , algorithm , partial differential equation , iterative method , mathematical analysis , aerospace engineering , geometry , engineering , physics , paleontology , structural engineering , quantum mechanics , biology , projection (relational algebra)
Abstract Current research in computational fluid dynamics focuses on high‐order methods, which offer a significant reduction of the computational effort for a given error bound. In low‐order methods optimal complexity solvers for elliptic equations, e.g. the Helmholtz equation, are readily available, but for high‐order methods these are still an area of research. This work evaluates the effectiveness of the Cascadic Multigrid Method in the context of spectral elements, comparing it to a standard Krylov subspace solver. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)