Multivariate approximation by locally blended univariate interpolants.
A method is given for constructing simple new "finite elements" that seem well-suited to approximating smooth functions in rectangular polygons decomposed into rectangular cells. Some of the key properties of the elements are derived, and analogous three-dimensional "bricks" are constructed.
Birkhoff
G
G
Mathematics Department, Harvard University, Cambridge, Massachusetts 02138.
Cavendish
J C
JC
Gordon
W J
WJ