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Staggered grid discretizations on Lie groups with applications in beam and shell theory
Author(s) -
Hante Stefan,
Arnold Martin
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800277
Subject(s) - discretization , grid , truncation (statistics) , mathematics , space (punctuation) , lie group , nonlinear system , scheme (mathematics) , beam (structure) , group (periodic table) , shell (structure) , mathematical analysis , truncation error , pure mathematics , physics , geometry , computer science , quantum mechanics , engineering , optics , mechanical engineering , statistics , operating system
We will discuss staggered grid space discretizations for micropolar Cosserat models with nonlinear configuration spaces, that have Lie group structure. The discretization scheme is applied at the level of the variational principle, has second order truncation error and uses a staggered grid, where the spatial derivatives are discretized inbetween the discretization points of the material configuration.