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 …

Uncertainties related to permeability heterogeneity can be estimated using geostatistical
simulation methods. Usually, these methods are applied on regular grids with cells of …

This work focuses on the development of adaptive timesteps, stopping criteria, and error
control strategies for reservoir simulations with fully implicit (FIM) solvers. Using a rigorous …

In this work we develop an a posteriori-based adaptive local multilevel mesh refinement
strategy for the Darcy porous media flow problem discretized with the finite volume method …

We have developed a sequential approach to accelerate immiscible multiphase flow
modelling in heterogeneous porous media using discontinuous Galerkin methods and …

Numerical simulation faces several challenges today. The different topics it relies on
(scientific modelling, applied mathematics, High Performance Computing (HPC) and …