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Solve the following PDE numerically by-hand using FEM, utilising four equisized linear Lagrange elements over the interval x [0, 1], and compare the solution obtained with the exact solution. (u) =...

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Solve the following PDE numerically by-hand using FEM, utilising four equisized linear Lagrange elements over the interval x ∈ [0, 1], and compare the solution

obtained with the exact solution.

∇ (−∇u) = 2

u(0) = 1

u(1) = −1

You may use Matlab to solve the resulting 7 × 7 system of equations.

Answered 106 days After Dec 01, 2021

Solution

Pawan answered on Mar 17 2022
106 Votes
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