Numerical integration for high order pyramidal finite elements
Nilima Nigam, Joel Phillips (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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We examine the effect of numerical integration on the accuracy of high order conforming pyramidal finite element methods. Non-smooth shape functions are indispensable to the construction of pyramidal elements, and this means the conventional treatment of numerical integration, which requires that the finite element approximation space is piecewise polynomial, cannot be applied. We develop an analysis that allows the finite element approximation space to include non-smooth functions...