Publication Details




A guaranteed quality boundary graded triangular meshing algorithm backed by a computer-assisted proof


Jing Xu and Andrey Chernikov.


Published in 22nd International Meshing Roundtable, 5-page research note, Orlando, FL, October, 2013




The quality of mesh elements including shape and size influences the performance of finite elements analysis, interpolation, and contouring. The existence of small angles is especially critical for conditioning of the stiffness matrix in finite elements methods. In this paper we present a boundary graded triangular mesh generation algorithm that allows for guaranteed bounds on angles. Our proof program shows that our algorithm bounds the minimum angle above 5.65.




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