Fluid mechanics simulation of steady state flow in complex geometries has many
applications, from the micro-scale (cell membranes, filters, rocks) to macro-scale …

In this paper, a parallel domain decomposition method is proposed, for solving the fully-
mixed Stokes–Darcy coupled problem with the Beavers–Joseph–Saffman (BJS) interface …

In this paper, we propose and analyze the parallel Robin–Robin domain decomposition
method based on the modified characteristic finite element method for the time-dependent …

This work proposes a coupled finite element method for solving the stationary dual-porosity
Navier-Stokes system with the Beavers-Joseph interface condition and the normal balance …

Permeability characterises flow in porous rocks/media for upscaling, while steady-state flow
fields allow analysis of reactive transport, fines migration, and tight unconventional rocks …

In this paper, we develop a Nitsche's type interface stabilized method for fully mixed Stokes–
Darcy problem with original Beavers–Joseph conditions. The method introduces two …

In this paper, we propose two novel Robin-type domain decomposition methods based on
the two-grid techniques for the coupled Stokes–Darcy system. Our schemes firstly adopt the …

In this paper, we develop a partitioned scheme with multiple-time-step technique for the
nonstationary dual-porosity-Stokes model. The proposed partitioned scheme allows different …

This paper proposes, analyzes and tests a second-order time-accurate partitioned method
for the coupling dual-porosity-Stokes equations. The algorithm combines a backward …

In this paper, we propose and analyze a decoupled modified characteristic finite element
method with different subdomain time steps for the mixed stabilized formulation of …