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Comparison of implementation techniques for Galerkin projection between different meshes
Author(s) -
Wang Z.,
Henneron T.,
Dular P.,
Mipo JC.,
Piriou F.
Publication year - 2013
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1962
Subject(s) - polygon mesh , multiphysics , galerkin method , projection (relational algebra) , finite element method , discontinuous galerkin method , intersection (aeronautics) , computer science , projection method , mathematics , computational science , mathematical optimization , algorithm , dykstra's projection algorithm , computer graphics (images) , engineering , aerospace engineering , structural engineering
Abstract To solve multiphysics problems, weak coupling of finite element calculations can be carried out: the subproblems of which the physical nature differs are solved separately on their own meshes. In this case, Galerkin projection provides useful tool to ensure the transfer of physical fields between different meshes. In terms of implementation, the Galerkin projection system can be either accurately assembled over the intersection of two meshes or approximately integrated over the target mesh. This paper describes and compares these two implementation techniques for the Galerkin projection. Copyright © 2013 John Wiley & Sons, Ltd.