This paper extends the univariate Theory of Connections, introduced in (Mortari, 2017), to
the multivariate case on rectangular domains with detailed attention to the bivariate case. In …

In this paper, we present a multiscale method for simulations of the multicontinua
unsaturated flow problems in heterogeneous fractured porous media. The mathematical …

In this paper, we study a multiscale method for simulating a dual-continuum unsaturated flow
problem within complex heterogeneous fractured porous media. Mathematically, each of the …

This paper presents a thermo-mechanical model with phase transition considering changes
in the mechanical properties of the medium. The proposed thermo-mechanical model is …

We present and discuss a novel approach to deal with conservation properties for the
simulation of nonlinear complex porous media flows in the presence of the following:(1) …

This letter is concerned with real-time background flow field estimation using distributed
pressure sensor measurements for autonomous underwater vehicles (AUVs). The goal of …

Numerical treatment of the problem of two-dimensional viscous fluid flow in and around
circular porous inclusions is considered. The mathematical model is described by Navier …

Piezomagnetoelectric materials have many applications in various areas of science and
engineering. For example, such materials can be used in sensors, transducers, energy …

Numerical simulations for flow and transport in subsurface porous media often prove
computationally prohibitive due to property data availability at multiple spatial scales that …

In this paper, we consider flow and transport problems in thin domains. Modeling problems
in thin domains occur in many applications, where thin domains lead to some type of …