Article references

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:

Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport

Carlo D'Angelo, Paolo Zunino

ESAIM: M2AN, 45 3 (2011) 447-476

Published online: 2010-10-11

DOI: https://doi.org/10.1051/m2an/2010062

This article has been cited by the following article(s):

Numerical Mathematics and Advanced Applications 2011

L. Cattaneo, C. Chiastra, E. Cutrì, et al.
Numerical Mathematics and Advanced Applications 2011 401 (2013)
DOI: 10.1007/978-3-642-33134-3_43
See this article

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)
DOI: 10.1137/110828095
See this article

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)
DOI: 10.1007/978-3-319-10705-9_62
See this article

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)
DOI: 10.1016/j.amc.2012.05.012
See this article

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)
DOI: 10.1155/2013/136483
See this article

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)
DOI: 10.1137/10081695X
See this article

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)
DOI: 10.1007/s10237-012-0432-5
See this article

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

Zhilin Li
International Journal for Numerical Methods in Engineering 106 (7) 556 (2016)
DOI: 10.1002/nme.5131
See this article

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)
DOI: 10.1007/s10092-014-0109-9
See this article

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)
DOI: 10.1137/130913134
See this article

On classical iterative subdomain methods for the Stokes–Darcy problem

Alfonso Caiazzo, Volker John and Ulrich Wilbrandt
Computational Geosciences 18 (5) 711 (2014)
DOI: 10.1007/s10596-014-9418-y
See this article

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 (2019)
DOI: 10.1002/nme.6094
See this article

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)
DOI: 10.4244/EIJV9I12A242
See this article

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)
DOI: 10.1016/j.apnum.2011.03.001
See this article

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

Vincent Ervin, Michaela Kubacki, William Layton, et al.
Axioms 4 (4) 518 (2015)
DOI: 10.3390/axioms4040518
See this article

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)
DOI: 10.1016/j.cma.2019.03.015
See this article

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 (2019)
DOI: 10.1016/j.camwa.2019.06.033
See this article

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)
DOI: 10.1002/nme.5744
See this article

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)
DOI: 10.1016/j.physa.2018.05.082
See this article

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)
DOI: 10.1137/15M1044072
See this article

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)
DOI: 10.1016/j.cma.2016.10.034
See this article

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)
DOI: 10.1016/j.apm.2017.01.057
See this article

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)
DOI: 10.1016/j.compfluid.2018.03.032
See this article

Multiscale Boundary Conditions for Drug Dissolution Applied to Coronary Stents

Elías Gudin͂o and Adélia Sequeira
Multiscale Modeling & Simulation 15 (4) 1748 (2017)
DOI: 10.1137/16M1088946
See this article

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)
DOI: 10.1137/16M1100885
See this article

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)
DOI: 10.1137/16M1107577
See this article

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

V. Ervin, M. Kubacki, W. Layton, et al.
Numerical Methods for Partial Differential Equations 35 (1) 349 (2019)
DOI: 10.1002/num.22303
See this article

Stokes–Darcy Equations

Ulrich Wilbrandt
Advances in Mathematical Fluid Mechanics, Stokes–Darcy Equations 109 (2019)
DOI: 10.1007/978-3-030-02904-3_6
See this article

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)
DOI: 10.1051/m2an/2018063
See this article

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)
DOI: 10.1088/1751-8121/ab1100
See this article

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)
DOI: 10.1007/8415_2011_112
See this article