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This lecture covers the analysis of unconfined steady-state flow in geomechanics, focusing on the relationship between pressure, permeability, and boundary conditions. It explains the use of fixed-point and Newton-Raphson iterative schemes to solve non-linear systems, emphasizing the importance of under-relaxation for convergence. The lecture also discusses the construction of the Jacobian matrix and the solution of the tangent operator. Practical considerations for implementing boundary conditions and ensuring convergence are highlighted.