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A hybridizable discontinuous Galerkin method for the coupled Navier–Stokes/Biot problem
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A discontinuous Galerkin method for a coupled Stokes–Biot problem
Parameter-robust methods for the Biot–Stokes interfacial coupling without Lagrange multipliers
Wietse M. Boon, Martin Hornkjøl, Miroslav Kuchta, Kent-André Mardal and Ricardo Ruiz-Baier Journal of Computational Physics 467 111464 (2022) https://doi.org/10.1016/j.jcp.2022.111464
A mixed elasticity formulation for fluid–poroelastic structure interaction
The Biot–Stokes coupling using total pressure: Formulation, analysis and application to interfacial flow in the eye
Ricardo Ruiz-Baier, Matteo Taffetani, Hans D. Westermeyer and Ivan Yotov Computer Methods in Applied Mechanics and Engineering 389 114384 (2022) https://doi.org/10.1016/j.cma.2021.114384
A three-field Banach spaces-based mixed formulation for the unsteady Brinkman–Forchheimer equations
Sergio Caucao, Ricardo Oyarzúa, Segundo Villa-Fuentes and Ivan Yotov Computer Methods in Applied Mechanics and Engineering 394 114895 (2022) https://doi.org/10.1016/j.cma.2022.114895
Modeling lost-circulation in natural fractures using semi-analytical solutions and type-curves
Parameter-Robust Methods for the Biot-Stokes Interfacial Coupling Without Lagrange Multipliers
Wietse Marijn Boon, Martin Hornkjøl, Miroslav Kuchta, Kent Andre Mardal and Ricardo Ruiz-Baier SSRN Electronic Journal (2021) https://doi.org/10.2139/ssrn.3967210
Global existence of weak solutions to unsaturated poroelasticity
Jakub Wiktor Both, Iuliu Sorin Pop and Ivan Yotov ESAIM: Mathematical Modelling and Numerical Analysis 55(6) 2849 (2021) https://doi.org/10.1051/m2an/2021063
A Banach space mixed formulation for the unsteady Brinkman–Forchheimer equations
Numerical Modeling of the Fluid-Porohyperelastic Structure Interaction
Anyastassia Seboldt, Oyekola Oyekole, Josip Tambača and Martina Bukač SIAM Journal on Scientific Computing 43(4) A2923 (2021) https://doi.org/10.1137/20M1386268
A semi-analytical approach to model drilling fluid leakage into fractured formation
Multilayered Poroelasticity Interacting with Stokes Flow
Lorena Bociu, Sunčica Canic, Boris Muha and Justin T. Webster SIAM Journal on Mathematical Analysis 53(6) 6243 (2021) https://doi.org/10.1137/20M1382520
Second‐order time discretization for a coupled quasi‐Newtonian fluid‐poroelastic system
Hemanta Kunwar, Hyesuk Lee and Kyle Seelman International Journal for Numerical Methods in Fluids 92(7) 687 (2020) https://doi.org/10.1002/fld.4801
A staggered finite element procedure for the coupled Stokes-Biot system with fluid entry resistance
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Sergio Caucao, Tongtong Li and Ivan Yotov Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 325 (2020) https://doi.org/10.1007/978-3-030-43651-3_29
Flow and transport in fractured poroelastic media
Ilona Ambartsumyan, Eldar Khattatov, Truong Nguyen and Ivan Yotov GEM - International Journal on Geomathematics 10(1) (2019) https://doi.org/10.1007/s13137-019-0119-5