Linear Algebra and Its Applications · Problem 6.5.8

Computations with Matrices — Gilbert Strang

Mathematics · finite-element-eigenvalue-mass-matrix

Problem

For the hat functions

V_1

and

V_2

centered at

x = h = \frac{1}{3}

and

x = 2h = \frac{2}{3}

, compute the 2 by 2 mass matrix

M_{ij} = \int V_i V_j dx

, and solve the eigenvalue problem

Ax = \lambda Mx