Estimate ∥uh​−u∥r​,r=0,1 for −u′′=f∈Hs(−1,1) with homogeneous D... | Filo

SOLVED:Consider the electrostatic Green functions of Section 1.10 for Dirichlet and Neumann boundary conditions on the surface S bounding the volume V. Apply Green's theorem (1.35) with integration variable 𝐲 and ϕ=G(𝐱, 𝐲), ψ=G(𝐱^', 𝐲), with ∇^2 y, G(z, y)=-4 πδ(𝐲-z). Find an expression for the difference [G(𝐱, 𝐱^')-. .G(𝐱^', 𝐱)] in terms of an integral over the boundary surface S . (a) For Dirichlet boundary conditions on the potential and the associated boundary condition on the Gree

For the problem -u^{\prime \prime} \alpha u=f on (0,1) with a h... | Filo

Which is the boundary condition used to represent the flux at the boundary? - TimesMojo

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