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A Family of C° Finite Elements for Kirchhoff Plates with Free Boundary Conditions

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • L. Beirão da Veiga

    (Dipartimento di Matematica “F. Enriques”)

  • J. Niiranen

    (Helsinki University of Technology, Institute of Mathematics)

  • R. Stenberg

    (Helsinki University of Technology, Institute of Mathematics)

Abstract

A finite element method for the Kirchhoff plate bending problem is presented. This method has the twofold advantage of allowing low order polynomials and of holding convergence properties which does not deteriorate in the presence of free boundary conditions. Optimal a-priori and a-posteriori error estimates are shown without proof. Finally, some numerical tests are presented.

Suggested Citation

  • L. Beirão da Veiga & J. Niiranen & R. Stenberg, 2006. "A Family of C° Finite Elements for Kirchhoff Plates with Free Boundary Conditions," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 1051-1058, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_105
    DOI: 10.1007/978-3-540-34288-5_105
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