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

L. Beirão da Veiga (), J. Niiranen () and R. Stenberg ()
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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

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1051-1058 from Springer

Abstract: 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.

Date: 2006
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DOI: 10.1007/978-3-540-34288-5_105

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