In the last decades, shale oil, mainly distributed in the nanopores of shale, has been
considered as the representative of unconventional energy to alleviate the energy crisis. But …

This book is an introduction to a family of discontinuous Galerkin (DG) methods applied to
some steady-state and time-dependent model problems. A special effort was made to have …

Recently, there has been an increased interest in applying the discontinuous Galerkin
method (DGM) to wave propagation. In this work, we investigate the applicability of the …

For solving reactive transport problems in porous media, we analyze three primal
discontinuous Galerkin (DG) methods with penalty, namely, symmetric interior penalty …

This paper presents a locally conservative finite element method based on enriching the
approximation space of the continuous Galerkin method with elementwise constant …

We present and analyze an enriched Galerkin finite element method (EG) to solve elliptic
and parabolic equations with jump coefficients. EG is formulated by enriching the …

Robust and efficient discretization methods for coupled poromechanical problems are
critical to address a wide range of problems related to civil infrastructure, energy resources …

In this paper, for the first time we propose two linear, decoupled, energy-stable numerical
schemes for multicomponent two-phase compressible flow with a realistic equation of state …

A mathematical and numerical model describing chemical transport in a Stokes–Darcy flow
system is discussed. The flow equations are solved through domain decomposition using …

This paper concerns the analysis and implementation of a novel iterative staggered scheme
for quasi-static brittle fracture propagation models, where the fracture evolution is tracked by …