(a) Using the Rayleigh-Ritz method and assuming a kinematically... | Filo
(a) Using the Rayleigh-Ritz method and assuming a kinematically... | F…
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Problem 3. Apply the Rayleigh-Ritz variational method to the ha... | Filo
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SOLVED: (Rayleigh-Ritz approximation to the harmonic function u in D with u=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 find constants c1, …, cn so that w0 c1 w1 ⋯ cn wn has the least possible energy. Show that the constants must solve the linear system ∑k=1^n(∇wj, ∇wk) ck=-(∇w0, ∇wj) for j=1,2, …, n | Numerade
SOLVED: (Rayleigh-Ritz approximation to the harmonic fu…
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