1.Previous
3.Next

simplicity, we will first consider the Poisson problem

:

on some domain , subject to the boundary condition on the boundary of . To discretize this equation by the finite element method, one chooses a set of basis functions defined on which also vanish on the boundary. One then approximates

:

The coefficients are determined so that the error in the approximation is orthogonal to

1.Previous
3.Next