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## Homework Statement

Given a BVP:

[tex]\Delta(u)+u=1[/tex] in [tex]\Omega[/tex]

u=0 on [tex]\partial\Omega[/tex]

using linear piecewise functions,

calculate the corresponding local stiffness matrix on the reference triangle :

{(x,y); 0<=x<=1, 0<=y<=1-x}.

The domain is a square with one point in the middle (at (0.5,0.5))

## Homework Equations

## The Attempt at a Solution

Does anyone know where i can start?