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Abstract

Discretization of a boundary-value problem by the finite element method requires evaluation of various integrals over the elements into which the region of interest is partitioned.

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References

  • A.K. Aziz, The Mathematical Foundations of the Finite Element Method (Academic, New York, 1972)

    MATH  Google Scholar 

  • C.A. Felippa, R.W. Clough, The finite element method of solid mechanics, in Numerical Solution of Field Problems in Continuum Physics, vol. II. SIAM–AMS Proceedings (Providence, Rhode Island, 1970), pp. 210–252

    Google Scholar 

  • R.J. Herbold, M.H. Schultz, R.S. Varga, Quadrature schemes for the numerical solution of boundary value problems by variational technigues. Aequ. Math. 3, 96–119 (1969)

    Article  MathSciNet  Google Scholar 

  • V. Hoppe, Finite elements with harmonic interpolation functions, in The Mathematics of Finite Elements with Applications, ed. by J.R. Whiteman (Academic, London, 1973), pp. 131–142

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  • G. Strang, G.J. Fix, An Analysis of the Finite Element Method (Prentice Hall, Englewood Cliffs, 1973)

    MATH  Google Scholar 

  • R.S. Varga, Functional Analysis and Approximation Theory in Numerical Analysis (SIAM, Philadelphia, 1971)

    Book  MATH  Google Scholar 

  • O.C. Zienkiewicz, The Finite Element Method in Engineering Science, 2nd edn. (McGraw Hill, New York, 1971)

    MATH  Google Scholar 

  • O.C. Zienkiewicz, Y.K. Cheung, Finite Element Methods in Structural Mechanics (McGraw Hill, New York, 1967)

    Google Scholar 

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Wachspress, E. (2016). Finite Element Discretization. In: Rational Bases and Generalized Barycentrics. Springer, Cham. https://doi.org/10.1007/978-3-319-21614-0_9

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  • DOI: https://doi.org/10.1007/978-3-319-21614-0_9

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21613-3

  • Online ISBN: 978-3-319-21614-0

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