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Topological refinement procedures for triangular finite element meshes

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Abstract

This paper presents a topological approach to improve the quality of unstructured triangular finite element meshes. Topological improvement procedures are presented both for elements that are interior to the mesh and for elements connected to the boundary. Optimal ordering of the topology improvement operations and their efficient implementation is also discussed. Several example meshes are included to demonstrate the effectiveness of the approach in improving element quality in a finite element mesh.

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Canann, S.A., Muthukrishnan, S.N. & Phillips, R.K. Topological refinement procedures for triangular finite element meshes. Engineering with Computers 12, 243–255 (1996). https://doi.org/10.1007/BF01198738

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  • DOI: https://doi.org/10.1007/BF01198738

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