Numerical solution of the two-dimensional Richards equation via a Taylor-Fréchet ELLAM technique

Alvaro A. Aldama, Victor Arroyo & Alvaro A. Aldama
The Eulerian-Lagrangian Localized Adjoint Method (ELLAM) has been succesfully employed in the solution of advection-dominated linear transport problems. Since the concept of adjoint operator only exists for linear equations, ELLAM is strictly speaking limited to linear problems. Some linearilization strategies have been proposed, such as the one based on a Picard type of scheme. Nevertheless, these strategies do not work well for the solution of highly nonlinear problems, such as those governed by Richards’ equation,...
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