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A hybridizable discontinuous Galerkin method for the coupled Navier–Stokes/Biot problem
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Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media
A three-field Banach spaces-based mixed formulation for the unsteady Brinkman–Forchheimer equations
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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
Soft hydraulics: from Newtonian to complex fluid flows through compliant conduits
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
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
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
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
A staggered finite element procedure for the coupled Stokes-Biot system with fluid entry resistance
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