GOAL
Completed Stage 1: 2D Conduction
CornellX MOOC, Ansys FEA

BACKGROUND
A rectangular bar with uniform T=0°C essential B.C.:

SOLUTION (3 elements, 1mx1m case)
Essential B.C. is met:


Temperature profile:


Heat flux plotted along bottom of domain:

The heat flux value found at the bottom right node was -.5 W/m²
(Should be +.5 W/m², An error of 1 W/m²)
Natural B.C. not quite matched.

SOLUTION (12 elements, .5mx.5m case)
Heatflux probe:
Heat flux value is 1.63e-15 W/m², which is closer to the boundary expected.
Increasing number of elements brings solution closer to the exact.