We introduce a novel relaxed Kačanov scheme for the computation of the discrete minimizer
to the-Laplace problem with. The iterative scheme is easy to implement since each iterate …

We consider the a posteriori error analysis of approximations of parabolic problems based
on arbitrarily high-order conforming Galerkin spatial discretizations and arbitrarily high-order …

We consider nonsmooth partial differential equations associated with a minimization of an
energy functional. We adaptively regularize the nonsmooth nonlinearity so as to be able to …

Two research subjects in geosciences which lately underwent significant progress are
treated in this review. In the first part, we focus on one key ingredient for the numerical …

In this paper we develop adaptive iterative coupling schemes for the Biot system modeling
coupled poromechanics problems. We particularly consider the space–time formulation of …

We consider a second-order elliptic boundary value problem with strongly monotone and
Lipschitz-continuous nonlinearity. We design and study its adaptive numerical …

In this paper we derive an a posteriori error estimate for the numerical approximation of the
solution of a system modeling the flow of two incompressible and immiscible fluids in a …

This paper is concerned with the analysis of coupled mixed finite element methods applied
to the Biot's consolidation model. We consider two mixed formulations that use the stress …

In this paper we derive a posteriori error estimates for the compositional model of multiphase
Darcy flow in porous media, consisting of a system of strongly coupled nonlinear unsteady …

We consider two-phase flow in a porous medium composed of two different rock types, so
that the capillary pressure field is discontinuous at the interface between the rocks. This is a …