Planar mesh refinement cannot be both local and regular

Numerische Mathematik

Volumn 79, Issue 1, 1998, Pages 1-10

  Buss, J F ^a   Simpson, R B ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032365057     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050329     Document Type: Article

References (13)

1. Babuska, I., Aziz, A.K. (1976): On the angle condition in the finite element method. SIAM J. Numer. Anal. 13(2): 214-227
2. Bank, R.E. (1990): PLTMG, a software package for solving elliptic partial differential equations. SIAM, Philadelphia
3. Bank, R.E., Sherman, A.M., Weiser, A. (1983): Refinement algorithms and data structures for regular local mesh refinement. In: Stepleman, R.S. (ed) Scientific Computing; IMACS conference, volume 1. North Holland
4. Chew, L.P. (1993): Guaranteed-quality mesh generation for curved surfaces. In: 9th Annual Symposium on Comp Geometry. San Diego, California, ACM, pp 274-280
5. D'Azevedo, E.F. (1991): Optimal triangular mesh generation by coordinate transformation. SIAM J. Sci. Stat. Comp. 12: 755-786
6. D'Azevedo, E.F., Simpson R.B. (1991): On optimal triangular meshes for minimizing the gradient error. Numer. Math. 59: 321-348
7. Babuska, I., Zienkiewicz, O.C. (1986): In: Gago, E.R., de A. Oliveira, E.R. (eds.) Accuracy Estimates and Adaptive Refinements in Finite Element Computations. Wiley-Interscience Publication
8. Frey, W.H., Field, D.A. (1991): Mesh relaxation: A new technique for improving triangulations. Int. J. for Num. Meth. in Eng. 31: 1121-1133
9. Marcum, D.L., Weatherill, N.P. (1995): Turbulence models for unstructured finite element calculations. Int. J. Num. Meth. in Fluids 20: 803-817
10. Rivara, M.C. (1984): Algorithms for refining triangular grids suitable for adaptive and multigrid techniques. Int. J. for Num. Meth. in Eng. 20: 745-756
11. Rivara, M.C. (1993): A discussion on the triangle refinement problem. In: Lubiw, A. (ed.), Proceedings, Fifth Canadian Conf. on Comp. Geom. U of Waterloo. Waterloo Ontario, Canada, pp. 42-47
12. Simpson, R.B. (1994): Anisotropic mesh transformations and optimal error control. Applied Num. Math. 14: 183-198
13. Weatherill, N.P. (1988): A method for generating irregular computational grids in multiply connected planar domains. Int. J. Num. Meth. Eng. 8: 181-197