Core Ideas The numerical solution of Richards' equation remains challenging. Space/time
discretization affects both computational effort and accuracy. Adaption of space and time …

Modeling variably saturated flow in the vadose zone is of vital importance to many scientific
fields and engineering applications. Richardson–Richards equation (RRE, which is …

This work concerns linearization methods for efficiently solving the Richards equation, a
degenerate elliptic-parabolic equation which models flow in saturated/unsaturated porous …

This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …

We analyze an optimized artificial fixed-stress iterative scheme for a space–time finite
element approximation of the Biot system modeling fluid flow in deformable porous media …

In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated
materials. The model of interest couples the Richards equation with linear elasticity …

Abstract The Hermitian and skew-Hermitian splitting iteration method (HSS) is commonly an
effective linear iterative method for solving sparse non-Hermite positive definite equations …

In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for
poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for …

This paper studies the potential of using the successive over-relaxation iteration method with
polynomial preconditioner (P (m)-SOR) to solve variably saturated flow problems described …

There is currently an increasing interest in develo** efficient solvers for variational phase-
field models of brittle fracture. The governing equations for this problem originate from a …