Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods

By M. Bause, Peter Knabner. 2004

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Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, background): “, 2013) have often been required along with significant work on methods for solving the resulting nonlinear discrete problems (Paniconi et al., 1991; Bergamaschi et al., 1999; Bause and Knabner, 2004; List and Radu, 2016).”
Comparison of Equivalent Conductivities for Numerical Simulation of One‐Dimensional Unsaturated Flow (2005, methodology): “…of infiltration in ini- involved (Farthing et al., 2003), the adopted lineariza-tially dry porous media remains a challenge, espe- tion technique (Bergamaschi and Putti, 1999) or for adapcially when very sharp fronts are present (Milly, 1985; tative grid refinement (Bause and Knabner, 2004).”
Locally conservative, stabilized finite element methods for variably saturated flow (2008, background): “Sufficient resolution is, however, unreachable in many cases without the use of adaptive mesh refinement [12, 27].”