Numerical studies of optimal grid construction

Numerical Methods for Partial Differential Equations

Volumn 12, Issue 2, 1996, Pages 191-206

  Chen, T F ^a   Fix, G J ^a   Yang, H D ^a  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000228771     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199603)12:2<191::AID-NUM3>3.0.CO;2-L     Document Type: Article

References (11)

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2. G.F. Carey and H.T. Dinh, "Grading functions and mesh redistribution," Siam J. Numer. Anal. 22, 1028 (1985).
3. I," Math. Comp. 33, 435 (1979).
4. T.F. Chen, "On least squares approximations to compressible flow problems," Numer. Methods Partial Different. Eq. 2, 207 (1986).
5. T.F. Chen, "Semidiscrete least squares methods for linear convection-diffusion problems," Computers Math. Applic. 11, 29 (1992).
6. T.F. Chen, "Semidiscrete least squares methods for linear hyperbolic systems," Numer. Methods Partial Different. Eq. 8, 423 (1992).
7. T.F. Chen, "Weighted least squares approximations for nonlinear hyperbolic equations," in preparation.
8. T.F. Chen and G.J. Fix, "Least squares finite element simulation of transonic flows," Appl. Numer. Math. 2, 399 (1986).
9. G.J. Fix, M.D. Gunzburger, and R.A. Nicolaides, "On mixed finite element methods for first order elliptic systems," Numer. Math. 37, 29 (1981).
10. F.W. Dorr, "An example of ill-conditioning in the numerical solution of singular perturbation problems," Math. Comp. 25, 271 (1971).
11. J.W. Barrett and K.W. Morton, "Optimal finite element solutions to diffusion-convection problems in one dimension," Int. J. Num. Meth. Engng. 15, 1457 (1980).