Linear Algebra and Its Applications · Problem 6.5.1

Computations with Matrices — Gilbert Strang

Mathematics · finite-element-method

Problem

Use three hat functions, with

h = \frac{1}{4}

, to solve

-u'' = 2

with

u(0) = u(1) = 0

. Verify that the approximation

U

matches

u = x - x^2

at the nodes.