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Equadiff 6 pp 353–358Cite as

Some new convergence results in finite element theories for elliptic problems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1192)

Keywords

  • Finite Element Method
  • Quadrature Formula
  • Finite Element Approximation
  • Ideal Boundary
  • Nonhomogeneous Boundary

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References

  1. CIARLET P.G., RAVIART P.A., The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. In: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (A.K. Aziz, Editor), Academic Press, New York, 1972, pp. 409–474.

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  2. CIARLET P.G., The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam, 1978.

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  3. DOKTOR P., On the density of smooth functions in certain subspaces of Sobolev space. Commentationes Mathematicae Universitatis Carolinae 14 (1973), 609–622.

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  4. FEISTAUER M., On the finite element approximation of a cascade flow problem. (To appear).

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  5. FEISTAUER M., ŽENÍŠEK A., Finite element methods for nonlinear elliptic problems. (To appear).

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  6. ŽENÍŠEK A., Nonhomogeneous boundary conditions and curved triangular finite elements. Apl. Mat. 26 (1981), 121–141.

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  7. ŽENÍŠEK A., Discrete forms of Friedrichs' inequalities in the finite element method. R.A.I.R.O. Anal. numér. 15 (1981), 265–286.

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  8. ŽENÍŠEK A., How to avoid the use of Green's theorem in the Ciarlet's and Raviart's theory of variational crimes. (To appear).

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  9. ZLÁMAL M., Curved elements in the finite element methods. I. SIAM J. Numer. Anal. 10 (1973), 229–240.

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© 1986 Equadiff 6 and Springer-Verlag

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Ženíšek, A. (1986). Some new convergence results in finite element theories for elliptic problems. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076093

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  • DOI: https://doi.org/10.1007/BFb0076093

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

  • eBook Packages: Springer Book Archive