Volume 9, Issue 3
Tricks of the Trade
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Algebraic Construction of Smooth Interpolants on Polygonal Domains
The boundary functions and interior point behaviors can be combined to describe shapes with holes or interior points. Shape functions that apply to separate boundaries and points can be combined.
For example, construct a set of interpolants on a multiply connected domain that contains a triangle and two interior points.
Figure 9. Interpolants that are smooth and linear on the sides of multiply connected polygons.
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