Target PDE: Diffusion - advection 2nd order elliptic PDE of the form:

∇⋅(𝛼∇𝑢) + 𝜔⋅(∇𝑢) + 𝜎𝑢 = 𝑓

Fluid simulation

0001-0438.mp4

Cooling simulation

(velocity field 𝜔 from fluid simulation above)

0001-0600.mp4

Inverse problem: Electrical Impedance Tomography (EIT)

EIT is an an inverse problem in medical imaging.

∇⋅(𝛼∇𝑢) = 𝑓