4 citations · 7 across the 3 of their papers we have counts for
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math.NA2010★ 2 cited
High-order finite elements on pyramids. II: unisolvency and exactness
Nilima Nigam, Joel Phillips
We present degrees of freedom to accompany the approximation spaces already presented in a companion paper and thus complete the definition of families of high-order conforming fin…
math.NA2010★ 1 cited
Numerical integration for high order pyramidal finite elements
Nilima Nigam, Joel Phillips
We examine the effect of numerical integration on the convergence of high order pyramidal finite element methods. Rational functions are indispensable to the construction of pyrami…
math.NA2006★ 4 cited
High-order finite elements on pyramids: approximation spaces, unisolvency and exactness
Nilima Nigam, Joel Phillips
We present a family of high-order finite element approximation spaces on a pyramid, and associated unisolvent degrees of freedom. These spaces consist of rational basis functions.…