User:Eml5526.s11.team4.rhee/HW6

= Problem 6.6 - 2D LLEBF with G2DM1.0/D1 =

Problem Statement
Use 2D LLEBF (Linear Lagrangian Element Basis Functions) until accuracy $$ 10^{-6} $$ at the center (x,y) = (0,0).

G2DM1.0/D1 (same with problem 6.5)

Solution
$$ \mathbf{K}=\mathbf{I} $$ and $$\frac{\partial u}{\partial t}=0 $$

The PDE becomes $$ div(\mathbf{I}\cdot gradu)=0 $$

That is, Laplace's equation Applying boundary condition, $$ u(\partial \Omega )=2 $$

The exact solution is

Plot
When n=m=3,

x,y axis view