function [ rexp, sexp ] = poly_q16 ( ) %*****************************************************************************80 % %% POLY_Q16 returns the monomials associated with a 16 node quadrilateral. % % Reference Element Q16: % % | % 1 13--14--15--16 % | | : : | % | | : : | % | 9..10..11..12 % S | : : | % | | : : | % | 5...6...7...8 % | | : : | % | | : : | % 0 1---2---3---4 % | % +--0-----R-----1--> % % Formula: % % Given coefficients A(I), the polynomial interpolant at (R,S) is % % P(R,S) = sum ( 1 <= I <= N ) A(I) * R**REXP(I) * S**SEXP(I) % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 14 April 2005 % % Author: % % John Burkardt % % Parameters: % % Output, integer REXP(16), SEXP(16), the powers of R and S associated % with each monomial. % rexp(1:16) = [ 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 1, 2, 3, 2, 3, 3 ]; sexp(1:16) = [ 0, 1, 0, 2, 1, 0, 3, 2, 1, 0, 3, 2, 1, 3, 2, 3 ]; return end