Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems
Two parallel, non-iterative, multi-physics, domain decomposition methods are proposed to
solve a coupled time-dependent Stokes-Darcy system with the Beavers-Joseph-Saffman …
solve a coupled time-dependent Stokes-Darcy system with the Beavers-Joseph-Saffman …
Non-iterative domain decomposition methods for a non-stationary Stokes–Darcy model with Beavers–Joseph interface condition
In order to solve a non-stationary Stokes–Darcy model with Beavers–Joseph interface
condition, two non-iterative domain decomposition methods are proposed. At each time …
condition, two non-iterative domain decomposition methods are proposed. At each time …
Low regularity error analysis for an H (div)-conforming discontinuous Galerkin approximation of Stokes problem
In this paper, we derive an improved error estimate for the H (div)-conforming discontinuous
Galerkin (DG) approximation of the Stokes equations, assuming only minimal regularity on …
Galerkin (DG) approximation of the Stokes equations, assuming only minimal regularity on …
[HTML][HTML] Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem
We present a finite element discretization to model the interaction between a poroelastic
structure and an elastic medium. The consolidation problem considers fully coupled …
structure and an elastic medium. The consolidation problem considers fully coupled …
On the use of divergence balanced H (div)-L2 pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes–Darcy and Brinkman …
The performance of different classic or more recent finite element formulations for Stokes,
coupled Stokes–Darcy and Brinkman problems is discussed. Discontinuous, H 1 …
coupled Stokes–Darcy and Brinkman problems is discussed. Discontinuous, H 1 …
A Stable Mixed Finite Element Method for the Simulation of Stokes Flow Using Divergence Balanced H (Div)‐L2 Pair of Approximation Spaces
The Stokes equations are used to model the motion of fluid flows where inertial terms can be
neglected. Traditional finite element approaches such as the Taylor–Hood element do not …
neglected. Traditional finite element approaches such as the Taylor–Hood element do not …
[HTML][HTML] An H (div)-conforming finite element method for Biot's consolidation model
Y Zeng, M Cai, F Wang - East Asian journal on applied …, 2019 - ncbi.nlm.nih.gov
In this paper, we develop an H (div)-conforming finite element method for Biot's
consolidation model in poroelasticity. In our method, the flow variables are discretized by an …
consolidation model in poroelasticity. In our method, the flow variables are discretized by an …
Convergence Analysis of H (div)‐Conforming Finite Element Methods for a Nonlinear Poroelasticity Problem
Y Zeng, Z Weng, F Liang - Discrete Dynamics in Nature and …, 2020 - Wiley Online Library
In this paper, we introduce and analyze H (div)‐conforming finite element methods for a
nonlinear model in poroelasticity. More precisely, the flow variables are discretized by H …
nonlinear model in poroelasticity. More precisely, the flow variables are discretized by H …
Simulation of coupled Stokes-Darcy equations using the combination of balanced H (div)-L2 approximation spaces
PGS Carvalho, PRB Devloo… - Proceeding Series of …, 2018 - proceedings.sbmac.org.br
The performance of a strongly conservative finite element formulation for coupled Stokes-
Darcy problems is discussed. The same pair of balanced H (div)-L2 approximation spaces is …
Darcy problems is discussed. The same pair of balanced H (div)-L2 approximation spaces is …
On the use of balanced H (div)-L 2 pair of approximation spaces for divergence-free simulations of Stokes and coupled Stokes-Darcy equations
PGS Carvalho, PRB Devloo, SM Gomes - 2018 - hal.science
The performance of different classic or more recent finite element formulations for Stokes
and coupled Stokes-Darcy problems are discussed. Discontinuous, H 1-conforming, or H …
and coupled Stokes-Darcy problems are discussed. Discontinuous, H 1-conforming, or H …