Darcy's law with drainage term and thermomechanics

[artofscience]

Would be nice to implement Darcy's law with drainage term to design pressure-loaded structures and mechanisms:

1. Solve for pressure: Ap = 0, with A = int k1(x) Bp.T @ Bp + k2(x) Np.T @ Np dV, with Np = [N1, N2, N3, N4] and ki(x) some design dependent material coefficients.
2. Solve for Ku=-Hp, where H = int Nu.T @ Bp dV linking the pressure to external load

Would be nice to implement thermomechanics (much similar):

1. Solve for temperature field AT=0 given some prescribed temperatures.
2. Solve for Ku=HT, where H links temperature to external load via expansion coefficient.