Question: Consider the nite difference approximation for the 2d Poisson problem { huh(x) = f(x) x 2 h R2 uh(x) = g(x) x 2 @h R2

Consider the nite difference approximation for the 2d Poisson problem { huh(x) = f(x) x 2 h R2 uh(x) = g(x) x 2 @h R2 State the discrete L1 stability for the problem and prove it. (See the lectures on Jan 16, Jan 18 Jan 23)

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