A polynomial of degree t on a simplex integrates by evaluating t factorial-weighted forms at t special points, a compact repackaging of the classical monomial integral formula.
F., Houston P ., Pennesi G., Fast Numerical Integration on Polytopic Meshes with Appli- cations to Discontinuous Galerkin Finite Element Methods, J
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Simple Formula for Integration of Polynomials on a Simplex
A polynomial of degree t on a simplex integrates by evaluating t factorial-weighted forms at t special points, a compact repackaging of the classical monomial integral formula.