Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Diffuse interface modeling of non‐isothermal Stokes‐Darcy flow with immersed transmissibility conditions

Hyoung Suk Suh
International Journal for Numerical Methods in Engineering (2024)
https://doi.org/10.1002/nme.7589

Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling

Marco Discacciati and Tommaso Vanzan
IMA Journal of Numerical Analysis 44 (4) 2251 (2024)
https://doi.org/10.1093/imanum/drad057

An efficient rotational pressure-correction schemes for 2D/3D closed-loop geothermal system

Jian Li, Jiawei Gao and Yi Qin
Advances in Computational Mathematics 50 (3) (2024)
https://doi.org/10.1007/s10444-024-10154-3

A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem

Aycil Cesmelioglu, Dinh Dong Pham and Sander Rhebergen
ESAIM: Mathematical Modelling and Numerical Analysis 57 (3) 1257 (2023)
https://doi.org/10.1051/m2an/2023016

A Multigrid Multilevel Monte Carlo Method for Stokes–Darcy Model with Random Hydraulic Conductivity and Beavers–Joseph Condition

Zhipeng Yang, Ju Ming, Changxin Qiu, Maojun Li and Xiaoming He
Journal of Scientific Computing 90 (2) (2022)
https://doi.org/10.1007/s10915-021-01742-2

A Parallel Robin–Robin Domain Decomposition Method based on Modified Characteristic FEMs for the Time-Dependent Dual-porosity-Navier–Stokes Model with the Beavers–Joseph Interface Condition

Luling Cao, Yinnian He and Jian Li
Journal of Scientific Computing 90 (1) (2022)
https://doi.org/10.1007/s10915-021-01674-x

On the solution of the steady-state dual-porosity-Navier-Stokes fluid flow model with the Beavers-Joseph-Saffman interface condition

Di Yang, Yinnian He and Luling Cao
Journal of Mathematical Analysis and Applications 505 (1) 125577 (2022)
https://doi.org/10.1016/j.jmaa.2021.125577

Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system

Jian Li, Xue Wang, Md. Abdullah Al Mahbub, Haibiao Zheng and Zhangxin Chen
Journal of Computational and Applied Mathematics 412 114326 (2022)
https://doi.org/10.1016/j.cam.2022.114326

Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials

Mathieu Barré, Céline Grandmont and Philippe Moireau
Evolution Equations and Control Theory (2022)
https://doi.org/10.3934/eect.2022053

A Compatible Embedded-Hybridized Discontinuous Galerkin Method for the Stokes-Darcy-Transport Problem

Aycil Cesmelioglu and Sander Rhebergen
Communications on Applied Mathematics and Computation 4 (1) 293 (2022)
https://doi.org/10.1007/s42967-020-00115-0

Equal-order finite element approximation for mantle-melt transport

Malte Braack, Kamel Nafa and Simon Taylor
Journal of Applied Mathematics and Computing 65 (1-2) 273 (2021)
https://doi.org/10.1007/s12190-020-01391-y

Robin-Robin domain decomposition methods for the dual-porosity-conduit system

Jiangyong Hou, Wenjing Yan, Dan Hu and Zhengkang He
Advances in Computational Mathematics 47 (1) (2021)
https://doi.org/10.1007/s10444-020-09828-5

Decoupled modified characteristic FEMs for fully evolutionary Navier–Stokes–Darcy model with the Beavers–Joseph interface condition

Luling Cao, Yinnian He, Jian Li and Di Yang
Journal of Computational and Applied Mathematics 383 113128 (2021)
https://doi.org/10.1016/j.cam.2020.113128

A Next-Generation Mathematical Model for Drug-Eluting Stents

Sunčica Čanić, Yifan Wang and Martina Bukač
SIAM Journal on Applied Mathematics 81 (4) 1503 (2021)
https://doi.org/10.1137/20M1365144

Pressure and flow statistics of Darcy flow from simulated annealing

Marise J E Westbroek, Peter R King, Dimitri D Vvedensky and Ronnie Schwede
Journal of Physics A: Mathematical and Theoretical 54 (3) 035002 (2021)
https://doi.org/10.1088/1751-8121/abd26a

A second-order fractional time-stepping method for a coupled Stokes/Darcy system

Jian Li, Rui Li, Xin Zhao and Zhangxin Chen
Journal of Computational and Applied Mathematics 390 113329 (2021)
https://doi.org/10.1016/j.cam.2020.113329

An analysis on the penalty and Nitsche's methods for the Stokes–Darcy system with a curved interface

Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric Chung and Ming-Cheng Shiue
Applied Numerical Mathematics 165 83 (2021)
https://doi.org/10.1016/j.apnum.2021.02.006

Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual–porosity–Navier–Stokes model

Luling Cao, Yinnian He, Jian Li and Md. Abdullah Al Mahbub
Applied Numerical Mathematics 166 238 (2021)
https://doi.org/10.1016/j.apnum.2021.04.012

The efficient rotational pressure-correction schemes for the coupling Stokes/Darcy problem

Jian Li, Min Yao, Md. Abdullah Al Mahbub and Haibiao Zheng
Computers & Mathematics with Applications 79 (2) 337 (2020)
https://doi.org/10.1016/j.camwa.2019.06.033

Partitioned penalty methods for the transport equation in the evolutionary Stokes–Darcy‐transport problem

V. Ervin, M. Kubacki, W. Layton, M. Moraiti, Z. Si and C. Trenchea
Numerical Methods for Partial Differential Equations 35 (1) 349 (2019)
https://doi.org/10.1002/num.22303

A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity

C. Ager, B. Schott, M. Winter and W.A. Wall
Computer Methods in Applied Mechanics and Engineering 351 253 (2019)
https://doi.org/10.1016/j.cma.2019.03.015

Coupled and decoupled stabilized mixed finite element methods for nonstationary dual‐porosity‐Stokes fluid flow model

Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu and Haibiao Zheng
International Journal for Numerical Methods in Engineering 120 (6) 803 (2019)
https://doi.org/10.1002/nme.6158

Pressure statistics from the path integral for Darcy flow through random porous media

Marise J E Westbroek, Gil-Arnaud Coche, Peter R King and Dimitri D Vvedensky
Journal of Physics A: Mathematical and Theoretical 52 (18) 185001 (2019)
https://doi.org/10.1088/1751-8121/ab1100

A consistent approach for fluid‐structure‐contact interaction based on a porous flow model for rough surface contact

Christoph Ager, Benedikt Schott, Anh‐Tu Vuong, Alexander Popp and Wolfgang A. Wall
International Journal for Numerical Methods in Engineering 119 (13) 1345 (2019)
https://doi.org/10.1002/nme.6094

Application of underdamped Langevin dynamics simulations for the study of diffusion from a drug-eluting stent

Shaked Regev and Oded Farago
Physica A: Statistical Mechanics and its Applications 507 231 (2018)
https://doi.org/10.1016/j.physa.2018.05.082

Modeling of non‐Fickian diffusion and dissolution from a thin polymeric coating: An application to drug‐eluting stents

E. Gudiño, C. M. Oishi and A. Sequeira
International Journal for Numerical Methods in Engineering 114 (3) 292 (2018)
https://doi.org/10.1002/nme.5744

Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model

Yali Gao, Xiaoming He, Liquan Mei and Xiaofeng Yang
SIAM Journal on Scientific Computing 40 (1) B110 (2018)
https://doi.org/10.1137/16M1100885

A least squares augmented immersed interface method for solving Navier–Stokes and Darcy coupling equations

Zhilin Li, Ming-Chih Lai, Xiaofei Peng and Zhiyue Zhang
Computers & Fluids 167 384 (2018)
https://doi.org/10.1016/j.compfluid.2018.03.032

Analysis of a stabilized penalty-free Nitsche method for the Brinkman, Stokes, and Darcy problems

Laura Blank, Alfonso Caiazzo, Franz Chouly, Alexei Lozinski and Joaquin Mura
ESAIM: Mathematical Modelling and Numerical Analysis 52 (6) 2149 (2018)
https://doi.org/10.1051/m2an/2018063

A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport

Hongxing Rui and Jingyuan Zhang
Computer Methods in Applied Mechanics and Engineering 315 169 (2017)
https://doi.org/10.1016/j.cma.2016.10.034

Multiscale Boundary Conditions for Non-Fickian Diffusion Applied to Drug-Eluting Stents

Elías Gudin͂o, Cassio M. Oishi and Adélia Sequeira
SIAM Journal on Applied Mathematics 77 (4) 1184 (2017)
https://doi.org/10.1137/16M1107577

3D mathematical model for blood flow and non-Fickian mass transport by a coronary drug-eluting stent

Elías Gudiño and Adélia Sequeira
Applied Mathematical Modelling 46 161 (2017)
https://doi.org/10.1016/j.apm.2017.01.057

Multiscale Boundary Conditions for Drug Dissolution Applied to Coronary Stents

Elías Gudin͂o and Adélia Sequeira
Multiscale Modeling & Simulation 15 (4) 1748 (2017)
https://doi.org/10.1137/16M1088946

A Dual-Porosity-Stokes Model and Finite Element Method for Coupling Dual-Porosity Flow and Free Flow

Jiangyong Hou, Meilan Qiu, Xiaoming He, et al.
SIAM Journal on Scientific Computing 38 (5) B710 (2016)
https://doi.org/10.1137/15M1044072

An augmented Cartesian grid method for Stokes–Darcy fluid–structure interactions

Zhilin Li
International Journal for Numerical Methods in Engineering 106 (7) 556 (2016)
https://doi.org/10.1002/nme.5131

On Limiting Behavior of Contaminant Transport Models in Coupled Surface and Groundwater Flows

Vincent Ervin, Michaela Kubacki, William Layton, Marina Moraiti, Zhiyong Si and Catalin Trenchea
Axioms 4 (4) 518 (2015)
https://doi.org/10.3390/axioms4040518

Numerical Mathematics and Advanced Applications - ENUMATH 2013

Kundan Kumar, Tycho L. van Noorden, Mary F. Wheeler and Thomas Wick
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications - ENUMATH 2013 103 633 (2015)
https://doi.org/10.1007/978-3-319-10705-9_62

Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces

Laura Cattaneo, Luca Formaggia, Guido Francesco Iori, Anna Scotti and Paolo Zunino
Calcolo 52 (2) 123 (2015)
https://doi.org/10.1007/s10092-014-0109-9

Stent deformation, physical stress, and drug elution obtained with provisional stenting, conventional culotte and Tryton-based culotte to treat bifurcations: a virtual simulation study

Stefano Morlacchi, Claudio Chiastra, Elena Cutrì, et al.
EuroIntervention 9 (12) 1441 (2014)
https://doi.org/10.4244/EIJV9I12A242

On classical iterative subdomain methods for the Stokes–Darcy problem

Alfonso Caiazzo, Volker John and Ulrich Wilbrandt
Computational Geosciences 18 (5) 711 (2014)
https://doi.org/10.1007/s10596-014-9418-y

Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems

Yanzhao Cao, Max Gunzburger, Xiaoming He and Xiaoming Wang
Mathematics of Computation 83 (288) 1617 (2014)
https://doi.org/10.1090/S0025-5718-2014-02779-8

Reactive Flow and Reaction-Induced Boundary Movement in a Thin Channel

Kundan Kumar, Mary F. Wheeler and Thomas Wick
SIAM Journal on Scientific Computing 35 (6) B1235 (2013)
https://doi.org/10.1137/130913134

Drug delivery patterns for different stenting techniques in coronary bifurcations: a comparative computational study

Elena Cutrì, Paolo Zunino, Stefano Morlacchi, Claudio Chiastra and Francesco Migliavacca
Biomechanics and Modeling in Mechanobiology 12 (4) 657 (2013)
https://doi.org/10.1007/s10237-012-0432-5

Partitioned Time Stepping Method for Fully Evolutionary Stokes--Darcy Flow with Beavers--Joseph Interface Conditions

Li Shan and Haibiao Zheng
SIAM Journal on Numerical Analysis 51 (2) 813 (2013)
https://doi.org/10.1137/110828095

Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition

Yong Cao, Yuchuan Chu, Xiaoming He and Mingzhen Wei
Abstract and Applied Analysis 2013 1 (2013)
https://doi.org/10.1155/2013/136483

Numerical approximation with Nitscheʼs coupling of transient Stokesʼ/Darcyʼs flow problems applied to hemodynamics

Carlo DʼAngelo and Paolo Zunino
Applied Numerical Mathematics 62 (4) 378 (2012)
https://doi.org/10.1016/j.apnum.2011.03.001

Non-iterative domain decomposition methods for a non-stationary Stokes–Darcy model with Beavers–Joseph interface condition

Wenqiang Feng, Xiaoming He, Zhu Wang and Xu Zhang
Applied Mathematics and Computation 219 (2) 453 (2012)
https://doi.org/10.1016/j.amc.2012.05.012

A mixed finite element method for Darcy flow in fractured porous media with non-matching grids

Carlo D’Angelo and Anna Scotti
ESAIM: Mathematical Modelling and Numerical Analysis 46 (2) 465 (2012)
https://doi.org/10.1051/m2an/2011148

Computational Modeling in Tissue Engineering

Manuela Teresa Raimondi, Paola Causin, Matteo Laganà, Paolo Zunino and Riccardo Sacco
Studies in Mechanobiology, Tissue Engineering and Biomaterials, Computational Modeling in Tissue Engineering 10 267 (2011)
https://doi.org/10.1007/8415_2011_112

Model Reduction Strategies Enable Computational Analysis of Controlled Drug Release from Cardiovascular Stents

Carlo D'Angelo, Paolo Zunino, Azzurra Porpora, Stefano Morlacchi and Francesco Migliavacca
SIAM Journal on Applied Mathematics 71 (6) 2312 (2011)
https://doi.org/10.1137/10081695X