We consider nonlinear algebraic systems with complementarity constraints stemming from
numerical discretizations of nonlinear complementarity problems. The particularity is that …

We propose an adaptive mesh refinement (AMR) algorithm dedicated to the simulation of
nonlinear quasi-static solid mechanics problems with complex local phenomena at the …

This paper develops an a posteriori error estimate for lowest-order locally conservative
methods on meshes consisting of general polytopal elements. We focus on the ease of …

This paper provides a detailed comparison in a solids mechanics context of adaptive mesh
refinement methods for all-quadrilateral and all-hexahedral meshes. The adaptive multigrid …

We present a higher-order space-time adaptive method for the numerical solution of the
Richards equation that describes a flow motion through variably saturated media. The …

It is well known that Newton's method, especially when applied to large problems such as
the discretization of nonlinear partial differential equations (PDEs), can have trouble …

The paper is concerned with guaranteed a posteriori error estimates for a class of
evolutionary problems related to poroelastic media governed by the quasi-static linear Biot …

This paper introduces a local multilevel mesh refinement strategy that automatically stops
relating to a user-defined tolerance even in case of local singular solutions. Refinement …

In this work, we develop an a posteriori-steered algorithm for a compositional two-phase
flow with exchange of components between the phases in porous media. As a model …

The paper is concerned with guaranteed and fully computable a posteriori error estimates
for evolutionary problems associated with the poroelastic media governed by the quasi …