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Isolating low‐frequency deformations for efficient multigrid methods: a geometrically exact 2D beam model
Author(s) -
Schröppel Christian,
Wackerfuß Jens
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410268
Subject(s) - multigrid method , context (archaeology) , logarithm , deformation (meteorology) , galerkin method , boundary value problem , beam (structure) , space (punctuation) , mathematics , mathematical analysis , computer science , physics , finite element method , partial differential equation , optics , paleontology , meteorology , biology , operating system , thermodynamics
We propose a novel technique for low‐frequency approximations of boundary‐value problems. In contrast to the standard Ritz‐Galerkin approach, the shape functions are given on the logarithmic space of the deformation function. The method is able to capture the complex interplay of the rotational and the translational components of the deformation. It is likely to be particularly efficient in the context of multigrid algorithms. c 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim 15