R.B. Morris, Y. Tsuji, et al.
International Journal for Numerical Methods in Engineering
This paper describes a new computational method of fully automated anisotropic triangulation of a trimmed parametric surface. Given as input: (1) a domain geometry and (2) a 3 × 3 tensor field that specifies a desired anisotropic node-spacing, this new approach first packs ellipsoids closely in the domain by defining proximity-based interacting forces among the ellipsoids and finding a force-balancing configuration using dynamic simulation. The centers of the ellipsoids are then connected by anisotropic Delaunay triangulation for a complete mesh topology. Since a specified tensor field controls the directions and the lengths of the ellipsoids' principal axes, the method generates a graded anisotropic mesh whose elements conform precisely to the given tensor field.
R.B. Morris, Y. Tsuji, et al.
International Journal for Numerical Methods in Engineering
A.R. Conn, Nick Gould, et al.
Mathematics of Computation
William Hinsberg, Joy Cheng, et al.
SPIE Advanced Lithography 2010
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SPIE Photomask Technology + EUV Lithography 2011