Numerical construction of optimal adaptive grids in two spatial dimensions

Computers and Mathematics with Applications

Volumn 39, Issue 12, 2000, Pages 101-120

  Chen, Tsu Fen ^a   Yang, Haw Dai ^b  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

^b UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY LAYER FLOW; COMPUTATIONAL FLUID DYNAMICS; DIFFUSION; ERROR CORRECTION; HEAT CONVECTION; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION; PROBABILISTIC LOGICS;

ADAPTIVE GRID GENERATION; CONVECTION-DIFFUSION PROBLEMS;

FINITE ELEMENT METHOD;

EID: 0033692844     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00133-4     Document Type: Article

References (15)

1. 1. V.E. Denny and R.B. Landis, A new method for solving two-point boundary problems using optimal node distribution, J. Computational Phys. 9, 120-137 (1972).
2. 2. C. De Door, Good approximation by splines with variable knots, In Lecture Notes in Mathematics, Volume 363, pp. 12-20, Berlin, (1973).
3. 3. V. Pereyra and E.G. Sewell, Mesh selection for discrete solutions of boundary-value problems in ordinary differential equations, Numer. Math. 23, 261-268 (1975).
4. 4. A.B. White, Jr., On selection of equidistributing meshes for two-point boundary-value problems, SIAM J. Numer. Anal. 16, 472-502 (1979).
5. 1, MATH. Comp. 33, 435-463 (1979).
6. 6. G.F. Carey and H.T. Dinh, Grading functions and mesh redistribution, SIAM J. Numer. Anal. 22, 1028-1040 (1985).
7. 7. H.A. Dwyer, R.J. Kee and B.R. Sanders, Adaptive grid method for problems in fluid mechanics and heat transfer, AIAA J. 18, 1205-1212 (1980).
8. 8. P.R. Eiseman, Alternating direction adaptive grid generation, AIAA-83-1937, AIAA 6th Computational Fluid Dynamics Conferences, Danvers, MA (1983).
9. 9. T.F. Chen, G.J. Fix and H.D. Yang, Numerical studies of optimal grid construction, Numer. Methods Partial Differential Equations 12, 191-206 (1996).
10. 10. S. Fortune, A sweepline algorithm for Voronoi diagrams, Algorithmica 2, 153-174 (1987).
11. 11. J. Fang, I.H. Parpia and S.R. Kennon, Sweepline algorithm for unstructured grid generation on two dimensional nonconvex domain, Int. J. Numer. Methods Engrg. 36, 2761-2778 (1993).
12. 12. F.P. Preparata and M.I. Shamo, Compuational Geometry: An Introduction, Springer, Berlin, (1985).
13. 13. G. Strang and G. Fix, An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, NJ, (1973).
14. 14. G.F. Carey and A. Pardhannai, Multigrid solution and grid redistribution for convection-diffusion, Int. J. Numer. Methods Engrg. 27, 655-664 (1989).
15. 15. A. Pardhanani and G.F. Carey, Optimization of computational grids, Numer. Methods Partial Differential Equations 4, 95-117 (1988).