Consider the Poisson equation in 1D: $$-u_{xx} = f(x), \hspace{6mm} u(a) = d1, \hspace{2mm} u(b) = d2$$Assuming a uniform partition such that $x_n = a + nh$, where $h = (b-a)/N$ and $n \in [0,N]$. Im wondering if anyone has a reference I can use which derives or justifies the convergence rate of this problem for the finite element method?
2026-03-27 13:27:22.1774618042
Reference Request for Convergence Rate of the 1D Poisson Equation with the Finite Element Method
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