An optimal switching mechanism for a combined Picard- Newton method for the solution of Richards´equation

Javier Aparicio, Álvaro Aldama, Claudio Paniconi, Mario Putti & Javier Aparicio
Richards’ equation, describing flow in partially saturated porous media, contains strong nonlinearities arising from pressure head dependencies in soil moisture and hydraulic conductivity. Additionally, the time- dependent nature of boundary conditions can alter the nonlinear characteristics of equation during a transient simulation. Various iterative methods are used for solving this nonlinear equation, most commonly the quadratically convergent Newton – Raphson technique and the simpler but only linearly convergent Picard method (successive approximation). The initial solution...
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