Abstract
This paper describes a technique for generating quadrilateral finite element meshes on convex, four-sided patches, given an arbitrary number of elements along each side of the patch. The technique first generates a subdivision with the correct topological structure and smoothes the subdivision to obtain elements of acceptance shape for finite element analysis. The correct mesh topology is obtained from a regular subdivision by cutting rectangular corners of appropriate size and interconnecting the sides introduced by the cuts.
The method can also be applied on three-dimensional patches producing meshes of brick elements with gradations in all directions.
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References
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Shephard, Mark S. (1988) Approaches to the automatic generation and control of finite element meshed. Appl. Mech. Rev. 41(4), April, pp 169–185
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Høyte, J. The Cut&Glue mesh generation algorithm. Engineering with Computers 8, 51–58 (1992). https://doi.org/10.1007/BF01206336
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DOI: https://doi.org/10.1007/BF01206336