Partition of Unity

C1 piecewise quadratic hierarchical bases
We present a construction of C1 piecewise quadratic hierarchical bases of Lagrange type on arbitrary polygonal domains Ω⊂R2. Properly …
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Macro-element hierarchical Riesz bases
We show that a nested sequence of Cr macro-element spline spaces on quasi-uniform triangulations gives rise to hierarchical Riesz bases …
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Refinable C 2 piecewise quintic polynomials on Powell-Sabin-12 triangulations
We present a construction of nested spaces of C 2 macro-elements of degree 5 on triangulations of a polygonal domain obtained by …
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