On Gauss-Lobatto integration on the triangle

Details On Gauss-Lobatto integration on the triangle On Gauss-Lobatto integration on the triangle

2010-07-27

arxiv.org/abs/1007.4848v2

Mathematics

Numerical Analysis

SIAM J. Numer. Anal. to appear

Scientific paper

A recent result in [2] on the non-existence 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.

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