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IMA Journal of Applied Mathematics 1977 20(2):151-162; doi:10.1093/imamat/20.2.151
© 1977 by Institute of Mathematics and its Applications
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A Basis Set of Functions for Curved Elements in the Finite Element Method

M. M. CECCHI and A. PICA

Istituto di Elaborazione dell'Informazione del C.N.R. Pisa
Istituto di Scienze dell'Informazione Pisa, Italy

Two dimensional elements with a curved boundary are considered. A transformation is given that maps the unit square or the unit triangle into the corresponding curved element. The method may be applied under the condition that the Jacobian determinant of the transformation does not vanish.

The conditions of validity of the method are given when the boundary is represented by an algebraic curve of degree 2. A test case is considered with its numerical results.


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