Bibliography of Mesh Quality Improvement Research

  1. N. Amenta, M. Bern, and D. Eppstein, “optimal Point Placement for Mesh Smoothing,” in 8th ACM-SIAM Symposium on Discrete Algorithms, New Orleans, pp. 528-537, 1997.
  2. R. Bank and B. Smith, “Mesh Smoothing Using A Posteriori Error Estimates,” SIAM J. Numer. Anal., pp. 979-997, Vol. 34, No. 3, June 1997.
  3. J. Cabello, R. Lohner, O.-P. Jacquotte, “Recent improvements of a variational method for the optimization of directionally stretched unstructured meshes,” pp. 163-175, in N.P. Weatherhill et. al. (eds.), Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, Pineridge Press, Swansea, 1994.
  4. S. A. Canann, M. B. Stephenson, and T. D. Blacker, “Optismoothing: An optimization-driven approach to mesh smoothing,” Finite Elements in Analysis and Design, Vol. 13, pp. 185-190, 1993.
  5. S. Canann, J. Tristano, and M. Staten, “An Approach to Combined Laplacian and Optimization-Based Smoothing for Triangular, Quadrilateral, and Quad-Dominant Meshes,” pp. 479-494, 7th International Meshing RoundTable, Dearborn, MI, October 26-28, 1998.
  6. J. Castillo, “A discrete variational method,” SIAM J. Sci. Stat. Comput., Vol. 12, No. 2, pp. 454-468, 1991.
  7. C. L. Chen, K. Y. Szema, and S. R. Chakravarthy, “Optimization of Unstructured Grids,” AIAA 95-0127, 33rd Aerospace Sciences Meeting and Exhibit, January 9-12, 1995, Reno NV.
  8. L. Freitag, “On Combining Laplacian and Optimization-Based Mesh Smoothing Techniques,” pp. 37-43, AMD-Vol. 220, Trends in Unstructured Mesh Generation, ASME 1997.
  9. L. Freitag and C. Ollivier-Gooch, “A Comparison of Tetrahedral Mesh Improvement Techniques,” pp. 87-100, 5th International Meshing RoundTable, Pittsburgh, 1996.
  10. L. Freitag, M. Jones, and P. Plassmann, “An Efficient Parallel Algorithm for Mesh Smoothing,” pp. 47-58, 4th International Meshing RoundTable, Albuquerque, 1995.
  11. S. Kennon and G. Dulikravitch, “Generation of Computational grids using optimisation,” AIAA Journal, Vol. 24, No. 7, pp. 1069-1073, 1986.
  12. P. Knupp, “The direction variational grid generation method extended to curves,” Appl. Math. Comp., 43, pp. 65-78, 1991.
  13. A. Kumar and N. Kumar, “A new approach to grid generation based on a local optimisation,” in Numerical Grid Generation in Computational Fluid Mechanics ’88, S. Sengupta et. al. eds., pp. 177-184, Pineridge Press, Swansea UK, 1988.
  14. S. H. Lo, “Optimization of Tetrahedral Meshes Based on Element Shape Measures,” pp. 951-961, Computers and Structures, Vol. 63, No. 5, 1997.
  15. A. Pardhannani and G. Carey, “Optimization of Computational Grids,” Num. Meth. PDE’s, Vol. 4, No. 2, pp. 95-117, 1988.
  16. N. Parthasarathy and S. Kodiyalam, “A constrained optimization approach to finite element mesh smoothing,” Finite Elements in Analysis and Design, 9, pp. 309-320, 1991.
  17. J. G. Tinoco-Ruiz and P. Barrera-Sanchez, “Area Functionals in Plane Grid Generation,” pp. 293-302, in Numerical Grid Generation in Computational Field Simulations, M. Cross et. al. (eds.), Greenwich UK, 1998.
  18. P. Zavattieri, “Optimization Strategies in Unstructured Mesh Generation,” pp. 2055-2071, Int. J. Num. Meth. Engr., Vol. 39, 1996.