Engineering with Computers

, Volume 12, Issue 3, pp 243-255

First online:

Topological refinement procedures for triangular finite element meshes

  • S. A. CanannAffiliated withThe MacNeal-Schwendler Corporation
  • , S. N. MuthukrishnanAffiliated withThe MacNeal-Schwendler Corporation
  • , R. K. PhillipsAffiliated withThe MacNeal-Schwendler Corporation

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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.


Finite element Mesh modification Triangular mesh refinement and derefinement