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What is a convergence graph?

The graph above is a convergence graph. It shows us the convergence of the stress at a certain location, based on the element size. Under normal conditions you will notice that from a certain element size, the stress will not change anymore.

What are the orders and rates of convergence?

The orders and rates of convergence for each of the stated methods is given by: Bisection Regula Falsi Secant Newton Order 1 1 1 + √5 2 2 Rate 1 2 − f ″ (x) 2f (x) (x − z) − f ″ (x) 2f (x) − f ″ (x) 2f (x) z denotes the second point used in Regula-Falsi Bisection is very easy to prove, since the interval always halves.

Is the converse true for divergence only?

For divergence only; the converse is false. Geometric series 1 1 n n ar  11r rr11or Sum = 1 a r

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