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Volume 9, Issue 3

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Algebraic Construction of Smooth Interpolants on Polygonal Domains
Elisabeth Anna Malsch
Gautam Dasgupta

References

[1] J. D. Foley, A. van Dam, S. K. Feiner, and J. F. Hughes, Computer Graphics Principles and Practice, 2nd ed., New York: Addison-Wesley, 1996.

[2] E. L. Wachspress, A Rational Finite Element Basis, New York: Academic Press, 1975.

[3] R. Courant, "Variational Methods for the Solution of Problems of Equilibrium and Vibrations," Bulletin of the American Mathematical Society, 49, 1943 pp. 1-43.

[4] O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, 4th ed., New York: McGraw-Hill, 1989.

[5] G. Dasgupta and J. Treil, "Maxillo-Facial Frame: Finite Element Shapes," The Mathematica Journal, 8(2), 2001 pp. 235-246.

[6] P. J. Davis, Interpolation and Approximation, New York: Dover Publications, 1963.

[7] V. L. Rvachev, T. I. Sheiko, V. Shapiro, and I. Tsukanov, "On Completeness of RFM Solution Structures," Computational Mechanics, 25, 2000 pp. 305-316.



     
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