Solution-Compute the derivate dg(a)

Compute the derivate dg(a)

Reference no: EM13912533

Problem 1- Apply the operator ∇ to products of smooth scalar fields Φ, Ψ, vector fields u, v, and tensor fields A, B. Establish the identities

div(Φu) = Φdivu + (u, gradΦ)

grad(u, v) = (grad^Tu)v + (grad^Tv)u

div(A^Tu) = (divA,u) + A : gradu

Problem 2- Compute the derivate DG(A) for each of the following functions

G(A) = (trA)A

G(A) = ABA

G(A) = A^TA

G(A) = (u, Au)A

Reference no: EM13912533

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Compute the derivate dg(a) : Apply the operator ∇ to products of smooth scalar fields Φ, Ψ, vector fields u, v, and tensor fields A, B. Establish the identities, Compute the derivate DG(A) for each of the following functions

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Compute the derivate dg(a)

Reference no: EM13912533

Reference no: EM13912533

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