A semi-implicit finite element discretization of the Richards equation ensures discrete positivity and maximum principles via a bounded auxiliary variable, local Péclet condition, and row-sum condition on weakly acute meshes with mass lumping.
Computer Methods in Applied Mechanics and Engineering , volume =
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Discrete positivity and maximum principles for a finite element discretization of the Richards equation
A semi-implicit finite element discretization of the Richards equation ensures discrete positivity and maximum principles via a bounded auxiliary variable, local Péclet condition, and row-sum condition on weakly acute meshes with mass lumping.