A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2012; you can also visit the original URL.
The file type is
The Lowest Order Differentiable Finite Element on Rectangular Grids
SIAM Journal on Numerical Analysis
A macro type of biquadratic C 1 finite elements is constructed on rectangle grids. This is a rectangular version of the C 1 Powell-Sabin element, a C 1 -P 2 element on triangular grids. Here, each rectangle of the base grid is refined into four subrectangles. As in the case of the Powell-Sabin element, we have more constraints than the number of degrees of freedom on each macroelement. However, the extra constraints are consistent. It is shown further that the constructed finite element spacedoi:10.1137/100806497 fatcat:nio3hbqhz5c3bktz7zwz4bdxmy