This is what I want to do in deal.II. u(k) and w(k) are solutions of two PDEs in the same domain D, where k is a parameter in the PDEs. I want to compute the inner product <f_i, I>, where f_i are functions over domain D, and I is an integral of k^2 * u(k) * w(k) from k_min to k_max. For simplicity, we can assume u and w live in the same finite element space.
-- *Yuliang*
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