# Two-source problem # PINN cannot handle this (assumes single Gaussian) # GP-FVM can recover the full nonparametric source field [physics] vx = 1.0 # Advection velocity in x vy = 0.0 # Advection velocity in y D = 0.05 # Diffusion coefficient domain = [0.0, 1.0, 0.0, 1.0] # [x_min, x_max, y_min, y_max] c_inflow = 0.0 # Dirichlet BC at left boundary # Two sources at different locations [[sources]] x = 0.25 y = 0.3 strength = 4.0 width = 0.10 [[sources]] x = 0.35 y = 0.7 strength = 3.0 width = 0.12 # Observations spread across the domain [[observations]] x = 0.5 y = 0.3 [[observations]] x = 0.5 y = 0.7 [[observations]] x = 0.6 y = 0.5 [[observations]] x = 0.7 y = 0.3 [[observations]] x = 0.7 y = 0.7 [[observations]] x = 0.8 y = 0.4 [[observations]] x = 0.8 y = 0.6 [[observations]] x = 0.9 y = 0.5 [[observations]] x = 0.4 y = 0.4 [[observations]] x = 0.4 y = 0.6 [[observations]] x = 0.5 y = 0.5 [[observations]] x = 0.6 y = 0.3 [noise] std = 0.01 seed = 42