Post refinement element shape improvement for quadrilateral meshes

American Society of Mechanical Engineers, Applied Mechanics Division, AMD

Volumn 220, Issue , 1997, Pages 9-15

  Staten, Matthew L ^a   Canann, Scott A ^a  

^a ANSYS INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD; OPTIMIZATION; TOPOLOGY;

QUADRILATERAL MESHES;

COMPUTATIONAL GEOMETRY;

EID: 0030677805     PISSN: 01608835     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (10)

1. Babuska, Aziz, A. K., 1976, "On the Angle Condition in the Finite Element Method," SIAM J. Numer. Anal. Vol. 13, No. 2, pp. 214-227.
2. Blacker, T. D. and Stephenson, M. B., "Paving: A New Approach to Automated Quadrilateral Mesh Generation," SAND90-0249, Sandia National Laboratories, 1990.
3. Canann, S. A., Muthukrishnan, S. N., and Phillips, R. K., 1994, "Topological Improvement Procedures for Quadrilateral and Triangular Finite Element Meshes," Presented at the 3rd International Roundtable, Albuquerque, NM.
4. Canann, S. A., Muthukrishnan, S. N., and Phillips, R. K., 1996, "Topological Refinement Procedures for Triangular Finite Element Meshes," Engineering With Computers, Vol. 12, pp. 243-255.
5. Gifford, L. N., 1976, "More on Distorted Isoparametric Elements," Int. J. Numer. Methods Eng., Vol. 14, No. 2, pp. 290-291.
6. Lee, C. K., Lo, S. H., 1993, "A New Scheme for the Generation of a Graded Quadrilateral Mesh," Computers and Structures, Vol. 52, No 5, pp. 847-857.
7. Rivara, M. C., 1996, "New Mathematical Tools and Techniques for the Refinement and/or Improvement of Unstructured Triangulations," Proceedings, 5th International Meshing Roundtable 96, pp. 77-86.
8. Schneiders, R., Debye, J., 1995, "Refinement Algorithms for Unstructured Quadrilateral or Brick Element Meshes," Modeling, Mesh Generation and Adaptive Numerical Methods for Partial Differential Equations; Proceedings IMA.
9. Zhu, J. Z., Zienkeiwicz, O. C, Hinton, E., and Wu, J., 1991, "A New Approach to the Development of Automatic Quadrilateral Mesh Generation," Int. J. Numer. Methods Eng., Vol. 32, pp. 849-866.
10. Zienkiewicz, O. C., 1977, The Finite Element Problem, 3rd Edition. McGraw-Hill, New York.