Piecewise Quadratic Approximations on Triangles
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The problem of constructing a function 4,(x, y) of two variables on a triangle, such that ~(x, y) and its first derivatives take given values at the vertices, where ¢(x, y) is composed of quadratic pieces, is considered. Two methods of constructing piecewise quadratic approximations are described which have the property that, if they are applied on each triangle of a triangulation, then ~(x, y) and its first derivatives are continuous everywhere.
[1] G. Strang,et al. An Analysis of the Finite Element Method , 1974 .
[2] P. Percell. On Cubic and Quartic Clough–Tocher Finite Elements , 1976 .