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Finite element mesh control by integer programming
Author(s) -
Tam T. K. H.,
Armstrong C. G.
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620361506
Subject(s) - hexahedron , polygon mesh , quadrilateral , integer programming , division (mathematics) , finite element method , mathematics , division algorithm , integer (computer science) , mathematical optimization , compatibility (geochemistry) , element (criminal law) , computer science , algorithm , geometry , engineering , arithmetic , structural engineering , chemical engineering , law , political science , programming language
A novel technique is presented for the control of mapped quadrilateral and hexahedral meshes generated inside a collection of connected subregions. Target division numbers on the subregion edges are given as input. By allowing these numbers to vary, meshes can be found which satisfy both the subregion constraints imposed by the mesh patterns being employed, and the compatibility constraints on edges shared by two or more adjacent subregions. Among all such feasible solutions the optimal one is obtained by minimizing the changes to the division numbers, using an integer programming technique.