(Rayleigh-RitzapproximationtotheharmonicfunctionuinDwithu=
Chapter 7, Problem 7(choose chapter or problem)
(Rayleigh-RitzapproximationtotheharmonicfunctionuinDwithu=h on bdy D.) Let w0, w1,...,wn be arbitrary functions such that w0 =h on bdy D and w1 ==wn = 0 on bdy D. The problem is to ndconstants c1,...,cn so that w0 +c1w1 ++cnwn has the least possible energy. Show that the constants must solve the linear systemn k=1(wj,wk)ck = (w0,wj) for j =1,2,...,n.
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