Finite element mesh optimization in three dimensions

Latin American Applied Research

Volumn 26, Issue 3-4, 1996, Pages 233-236

  Zavattieri, P D ^a   Buscaglia, G C ^a   Dari, E A ^a  

^a INSTITUTO BALSEIRO   (Argentina)

Author keywords

Finite Elements; Mesh Generation; Mesh Optimization

Indexed keywords

EID: 0001170978     PISSN: 03270793     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (23)

1. Baker, T.J., "Element quality in tetrahedral meshes", Proc. 7th Int. Conf. on Finite Element Methods in Flow Problems, Huntsville, Alabama, USA (1989).
2. Buscaglia, G.C. and E.A. Dari, "Improving the quality of three-dimensional finite element meshes: An optimization-based method", Proc. PACAM'IV 4th Pan American Congress of Appl. Mech., Buenos Aires, Argentina, 481-486 (1995).
3. Cabello, J., R. Löhner and O.-P. Jacquotte, "Recent improvements of a variational method for the optimization of directionally stretched unstructured meshes", in Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, (Ed. N.P.Weatherill et al), Pineridge Press, 1994, pp. 163-175.
4. Dari, E.A., Doctoral Thesis, Institute Balseiro, 1994.
5. Dari, E.A. and G.C.Buscaglia, "Topics on finite element meshes for problems with moving boundaries", in Finite Elements in Fluids, New Trends and Applications (Ed. K. Morgan et al), Pineridge Press, 726-735 (1993).
6. Dari, E.A. and G.C. Buscaglia, "Mesh optimization: How to obtain good unstructured 3D finite element meshes with not-so-good mesh generators", Struct. Optim. 8, 181-188 (1994).
7. Dari, E.A. and M. Vénere, "A node placement method for 2D automatic mesh generation", Latin Amer. Appl. Res. 21, 275-282 (1991).
8. Frey, W.H. and D.A. Field, "Mesh relaxation: A new technique for improving triangulations", Int. J. Numer. Meth. in Eng. 31, 1121-1133 (1991).
9. George, P.L., "Mailleur 3D sous contraintes pour la méthode des éléments finis", Proc. 2o. Congreso Franco-Chileno y Latinoamericano de Matemáticas Aplicadas, Santiago, Chile, 205-221 (1989).
10. Jin, H. and R.I. Tanner, "Generation of unstructured tetrahedral meshes by advancing front technique", Int. J. Numer. Meth. in Eng. 36, 1805-1823 (1993).
11. Kennon, S.R., "Supersonic inlet calculations using an upwind finite-volume method on adaptive unstructured grids", AIAA Paper 89-0113, 27th Aerospace Sci. Meeting, Reno, USA (1989).
12. Kennon, S.R., and G.S. Dulikravich, "Generation of computational grids using optimization", AIAA J. 24, 1069-1073 (1986).
13. Krízek, M., "On semiregular families of triangulations and linear interpolation", Appl. of Math. 36, 223-232 (1991).
14. Krízek, M., "On the maximum angle condition for linear tetrahedral elements", SIAM J. Numer. Anal. 29, 513-520 (1992).
15. Müller, J.-D., P.L. Roe and H. Deconinck, "A frontal approach for internal node generation in Delaunay triangulations", Int. J. Numer. Meth. Fluids 17, 241-255 (1993).
16. Peiró, J., "A finite element procedure for the solution of the Euler equations on unstructured meshes", Ph.D.Thesis, Univ. Coll. Swansea (1989).
17. Peraire, J., "A finite element method for convection dominated flows", Ph.D.Thesis, Univ. Coll. Swansea (1986).
18. Peraire, J., K. Morgan and J. Peiró, "Unstructured mesh methods for CFD", I.C. Aero Report 90-04, Imperial College, UK (1990).
19. Stamatis, A. and K. Papailiou, "An unstructured grid optimization method", in Finite Elem. in Fluids, New Trends and Applications (Ed. K.Morgan et al), Pineridge Press, 676-685 (1993).
20. Tezduyar, T.E., S. Aliabadi, M. Behr, A. Johnson and S. Mittal, "Parallel finite element computation of 3D flows - Computation of moving boundaries and interfaces, and mesh update strategies", Preprint 93-042, Army High Performance Computing Res. Ctr., Univ. of Minnesota, USA (1993).
21. Vénere, M. and D.L. Arnica, "Surface finite element mesh generation", oral presentation at 4th Int. Conf. on Numer. Grid Generation in Comp. Fluid Dynamics and Related Fields, Swansea, Wales, UK (1994). Unpublished.
22. Weatherill, N. and O. Hassan, "Efficient three-dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints", Int. J. Numer. Meth. Eng. 37, 2005-2039 (1994).
23. Zhang, H. and J.-Y. Trépanier. "An algorithm for the optimization of directionally stretched triangulations", Int. J. Numer. Meth. in Eng. 37, 1481-1497 (1994).