Simple algorithm for adaptive refinement of three-dimensional finite element tetrahedral meshes

AIAA Journal

Volumn 33, Issue 5, 1995, Pages 928-932

  Muthukrishnan, S N ^a,c   Shiakolas, P S ^c   Nambiar, R V ^b,c   Lawrence, K L ^c  

^a PDA Engineering   (United States)

^b UNIVERSITY OF TEXAS   (United States)

^c UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3943096091     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.12386     Document Type: Article

References (15)

1. Nambiar, R. V., Valera, R., Lawrence, K. L., Morgan, R. B., and Amil, D., “An Algorithm for Adaptive Refinement of Triangular Finite Element Meshes,” International Journal of Numerical Methods in Engineering, Vol. 36,1993, pp. 499-509.
2. Joshi, V. S., Nambiar, R. V, Lawrence, K. L., and Shiakolas, S. R, “An Algorithm for Adaptive Refinement of Tetrahedral Finite Element Meshes,” Proceedings the 33rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Ft. I, Structures I, AIAA, Washington, DC, 1992, pp. 490-493.
3. Cavendish, J. C., Field, D. A., and Frey, W. H., “An Approach to Automatic Three Dimensional Finite Element Mesh Generation,” International Journal of Numerical Methods in Engineering, Vol. 21, 1985, pp. 329-347.
4. Lo, S. H., “Volume Discretization into Tetrahedra—I. Verification and Orientation of Boundary Surfaces,” Computers and Structures, Vol. 39, No. 5, 1991, pp. 493-500.
5. Lo, S. H., “Volume Discretization into Tetrahedra—^11.3-D Triangulation by Advancing Front Approach,” Computers and Structures, Vol. 39, No. 5, 1991, pp. 501-511.
6. Nguyen, V. P., “Automatic Mesh Generation with Tetrahedral Elements,” International Journal of Numerical Methods in Engineering, vol. 18, 1982, pp. 273-289.
7. Yerry, M. A., and Sheppard, M. S., “Automatic Three Dimensional Mesh Generation by the Modified Octree Technique,” International Journal of Numerical Methods in Engineering, Vol. 20, 1984, pp. 1965-1990.
8. Rivara, M. C., and Levin, C., “A 3-D Refinement Algorithm Suitable for Adaptive and Multi-grid Techniques,” Communications in Applied Numerical Methods, Vol. 8,1992, pp. 281-290.
9. Buratynski, E. K., “A Fully Automatic Three Dimensional Mesh Generator for Complex Geometries,” International Journal of Numerical Methods in Engineering, Vol. 30, 1990, pp. 931-952.
10. Johnston, B. P., and Sullivan, J. M., “A Normal Offsetting Technique for Automatic Mesh Generation in Three Dimensions,” International Journal of Numerical Methods in Engineering, Vol. 36, 1993, pp. 1717-1734.
11. Zienkiewicz, O. C., and Zhu, J. Z., “A Simple Error Estimator and Adaptive Procedure for Practical Engineering Analysis,” International Journal of Numerical Methods in Engineering, Vol. 24, 1987, pp. 337-357.
12. Fish, J., “The r-version of the Finite Element Method,” Computers and Structures, Vol. 43, 1992, pp. 539-547.
13. Shiakolas, P. S., Nambiar, R. V, and Lawrence, K. L., “Closed-form Stiffness Matrices for the Linear Strain and Quadratic Strain Tetrahedron Finite Elements,” Computers and Structures, Vol. 45, 1992, pp. 237-242.
14. Shiakolas, P. S., Lawrence, K. L., and Nambiar, R. V., “Closedform Error Estimators for the Linear Strain and Quadratic Strain Tetrahedron Finite Elements,” Computers and Structures, Vol. 47, 1993, pp. 907-915.
15. Rosenberg, I. G., and Stegner, F., “A Lower Bound on the Angles of Triangles Constructed by Bisecting the Longest Edge,” Mathematics of Computation, Vol. 29, 1975, pp. 390-395.