On Gauss–Lobatto Integration on the Triangle
Yuan Xu · SIAM Journal on Numerical Analysis · 2011
A recent result in [B. T. Helenbrook, SIAM J. Numer. Anal., 47 (2009), pp. 1304–1318] on the nonexistence of Gauss–Lobatto cubature rules on the triangle is strengthened by establishing a lower bound for the number of nodes of such rules. A method of constructing Lobatto-type cubature rules on the triangle is given and used to construct several examples.