This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …

The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …

The paper deals with the numerical solution of Biot's equations of coupled consolidation
obtained by a mixed formulation combining continuous Galerkin finite‐element and …

Steel corrosion plays an adversary, but central role in different technological fields.
Reasonable modeling of corrosion calls for a profound theoretical study of the underlying …

We present a new second-order accurate monotone finite volume (FV) method for the steady-
state advection–diffusion equation. The method uses a nonlinear approximation for both …

We propose a cell-centered finite volume (FV) scheme with the minimal stencil formed by the
closest neighbouring cells. The discrete solution satisfies the discrete maximum principle …

In the exploration and development of deep reservoir resources, the occurrence of well kick
will have a very important impact on wellbore temperature distribution during circulation …

This paper is concerned with the lattice Boltzmann method for general convection-diffusion
equations. For such equations, we develop a multiple-relaxation-time lattice Boltzmann …

Accurate numerical simulation of coupled fracture/fault deformation and fluid flow is crucial
to the performance and safety assessment of many subsurface systems. In this work, we …

The estimation of the gas concentration (process state) associated with an emitting
stationary or moving source using a sensing aerial vehicle (SAV) is considered. The …