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