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Algebraic-geometry foundations for finite-element computation

Part of the Lecture Notes in Mathematics book series (LNM,volume 363)

Keywords

  • Irreducible Component
  • Maximal Order
  • Unique Curve
  • Interior Node
  • Vertex Node

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9. Bibliography

  1. Hadamard, J., Lectures on Cauchy's Problem in Linear Partial Differential Equations, Dover, New York (1952).

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  2. Noether, M., "Uber einen Satz aus der Theorie der Algebraischen Funktionen," Math. Ann., 34 (1873), Pp. 447–9.

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  3. Wachspress, E., "A Rational Basis for Function Approximation," Proc. of Conf. on Applic. of Numerical Analysis, Dundee (1971), Springer Verlag Lecture Notes in Mathematics, 228, Pp. 223–252.

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  4. Ibid. "A Rational Basis for Function Approximation," J. Inst. Math. Applics., 8 (1971), Pp. 57–68.

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  5. Wachspress, E., "A Rational Basis for Function Approximation. Part II: Curved Sides," J. Inst. Math. Applics., 11, (1973) Pp. 83–104.

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  6. Wachspress, E., A Rational Finite-Element Basis, (1973) Unpublished Monograph.

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  7. Wait, R., "A Finite-Element for Three-Dimensional Function Approximation," (same as (3)), Pp. 348–352.

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  8. Walker, R., Algebraic Curves, Dover, New York (1962).

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Dedicated to Max Noether on the 100th anniversary of his Fundamental Theorem of Algebraic-Geometry.

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© 1974 Springer-Verlag

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Wachspress, E.L. (1974). Algebraic-geometry foundations for finite-element computation. In: Watson, G.A. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 363. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069136

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  • DOI: https://doi.org/10.1007/BFb0069136

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  • Print ISBN: 978-3-540-06617-0

  • Online ISBN: 978-3-540-37914-0

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