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Summary.
Let be some partition
of a planar polygonal domain into quadrilaterals. Given a
smooth function , we construct piecewise polynomial functions
of degree for
odd, and for even on a
subtriangulation of . The latter is
obtained by drawing diagonals
in each , and is a composite quadrilateral
finite element
generalizing the classical cubic Fraeijs de Veubeke and Sander
(or
FVS) quadrilateral. The function interpolates the derivatives of
up
to order at the vertices of .
Polynomial degrees
obtained
in this way are minimal in the family of interpolation schemes
based on finite elements.
Received April 30, 1992 / Revised version received June 3,
1994 相似文献
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