We develop multiscale mortar mixed finite element discretizations for second order elliptic
equations. The continuity of flux is imposed via a mortar finite element space on a coarse grid …

With the right software infrastructure, clouds can provide scientists with "as a service"
access to high-performance computing resources. An award-winning prototype framework …

The balancing domain decomposition method for mixed finite elements by Cowsar, Mandel,
and Wheeler is extended to the case of mortar mixed finite elements on non‐matching …

We consider discretizations of a model elliptic problem by means of different numerical
methods applied separately in different subdomains, termed multinumerics, coupled using the …

Background: This study aims to deliver more insights on the impact of neoadjuvant treatment
on Pd-L1 expression and to evaluate its correlation with clinicopathological factors. Methods…

We consider a fully implicit formulation for two-phase flow in a porous medium with capillarity,
gravity, and compressibility in three dimensions. The method is implicit in time and uses …

We present an efficient approach for preconditioning systems arising in multiphase flow in a
parallel domain decomposition framework known as the mortar mixed finite element method…

Local mesh adaptivity serves as a practical tool in numerical simulations to accurately capture
features of interest while reducing computational time and memory requirements. In this …

We present an approximate Jacobian approach for solving nonlinear, multiphase flow and
transport problems in porous media. A backward Euler time discretization scheme is used …

The design and evaluation of hydraulic fracture modeling is critical for efficient production
from tight gas and shale plays. The efficiency of fracturing jobs depends on the interaction …