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Mesh generation with quasi-equilateral triangulation for finite element analyses

Patent 5440674 Issued on August 8, 1995. Estimated Expiration Date: Icon_subject August 8, 2012. Estimated Expiration Date is calculated based on simple USPTO term provisions. It does not account for terminal disclaimers, term adjustments, failure to pay maintenance fees, or other factors which might affect the term of a patent.

Patent References

Method and apparatus for generating a mesh for finite element analysis Patent #: 4912664
Issued on: 03/27/1990
Inventor: Weiss, et al.

Inventor

Application

No. 738796 filed on 07/31/1991

US Classes:

345/423, Tessellation345/420Solid modelling

Examiners

Primary: Jankus, Almis R.

Attorney, Agent or Firm

International Class

G06T 017/20

Abstract

New algorithms for automatically generating two-dimensional uniform and graded finite element meshes incorporate novel operators for the generation of nodes on an object's boundaries as well as interior. The algorithms begin with an initial triangulation of the object. The generation of additional nodes is used to generate a triangular mesh with the desired density. Most importantly, the algorithms guarantee a lower bound on the smallest angle in the whole mesh. This lower bound is 30°. With this guaranteed lower bound, smoothing of the mesh or human intervention to improve the shape of the mesh becomes unnecessary.

Other References

  • L. Paul Chew, "Guaranteed Quality Triangular Meshes", Dept. of Computer Science, Cornell University, Ithaca, N.Y., TR 89-983 (1989
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