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Mandel's problem as a benchmark for two-dimensional nonlinear poroelasticity
C. J. Van Duijn
,
Andro Mikelic
,
Thomas Wick
Article dans une revue
hal-04134123v1
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Long-time shadow limit for a reaction–diffusion-ODE system
Chris Kowall
,
Anna Marciniak-Czochra
,
Andro Mikelic
Article dans une revue
hal-04134270v1
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Mathematical proof of the mandel-cryer effect in poroelasticity
Cornelis Johannes van Duijn
,
Andro Mikelic
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2021, 19 (1), pp.550-567. ⟨10.1137/20M1346043⟩
Article dans une revue
hal-04135084v1
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Mathematical theory and simulations of thermoporoelasticity
Cornelis J van Duijn
,
Andro Mikelic
,
Thomas Wick
Article dans une revue
hal-02429820v1
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Homogenization approach to the upscaling of a reactive flow through particulate filters with wall integrated catalyst
Oleg Iliev
,
Andro Mikelic
,
Torben Prill
,
Arsha Sherly
Article dans une revue
hal-04135087v1
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Thermoporoelasticity via homogenization I. Modeling and formal two-scale expansions
Cornelis Johannes van Duijn
,
Andro Mikelic
,
Mary Wheeler
,
Thomas Wick
Article dans une revue
hal-01650194v1
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A monolithic phase-field model of a fluid-driven fracture in a nonlinear poroelastic medium
Cornelis Johannes van Duijn
,
Andro Mikelic
,
Thomas Wick
Article dans une revue
hal-02072945v1
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Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium
Andro Mikelic
,
M. Wheeler
,
T. Wick
Article dans une revue
hal-02072936v1
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Derivation of a poroelastic elliptic membrane shell model
Andro Mikelic
,
Josip Tambača
Article dans une revue
hal-01488396v1
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Effective pressure boundary condition for the filtration through porous medium via homogenization
Thomas Carraro
,
Eduard Marusic-Paloka
,
Andro Mikelic
Article dans une revue
hal-01484775v1
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Renormalization group second order approximation for singularly perturbed nonlinear ordinary differential equations
Anna Marciniak-Czochra
,
Andro Mikelic
,
Thomas Stiehl
Mathematical Methods in the Applied Sciences, 2018, 41, pp.5691--5710
Article dans une revue
hal-01795884v1
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PHASE-FIELD MODELING OF TWO PHASE FLUID FILLED FRACTURES IN A POROELASTIC MEDIUM
Sanghyun Lee
,
Andro Mikelic
,
Mary Wheeler
,
Thomas Wick
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2018, 16, pp.1542-1580
Article dans une revue
hal-01843787v1
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Shadow limit using Renormalization Group method and Center Manifold method
Anna Marciniak-Czochra
,
Andro Mikelic
Vietnam Journal of Mathematics, 2017, Special Issue of the Vietnam Journal of Mathematics dedicated to Willi Jaeger, 45, pp.103-125
Article dans une revue
hal-01280673v1
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Analytical and variational numerical methods for unstable miscible displacement flows in porous media
Guglielmo Scovazzi
,
Mary Wheeler
,
Andro Mikelic
,
Sanghyun Lee
Article dans une revue
hal-01380352v1
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Ion transport through deformable porous media:derivation of the macroscopic equations using upscaling
Grégoire Allaire
,
Olivier Bernard
,
Jean-François Dufrêche
,
Andro Mikelic
Article dans une revue
hal-01278241v1
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SHADOW LIMIT FOR PARABOLIC-ODE SYSTEMS THROUGH A CUT-OFF ARGUMENT
Anna Marciniak-Czochra
,
Andro Mikelic
Article dans une revue
hal-01531288v1
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Ion transport through deformable porous media: derivation of the macroscopic equations using upscaling
Grégoire Allaire
,
Olivier Bernard
,
Jean-François Dufrêche
,
Andro Mikelić
Article dans une revue
hal-01215457v1
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Phase-field modeling of proppant-filled fractures in a poroelastic medium
Sanghyun Lee
,
Andro Mikelic
,
Mary F Wheeler
,
Thomas Wick
Article dans une revue
hal-01278240v1
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Derivation of a poroelastic flexural shell model
Andro Mikelic
,
Josip Tambaca
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2016, 14 (1), pp.364-397
Article dans une revue
hal-01146535v1
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A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium
Andro Mikelic
,
M.F. Wheeler
,
Thomas Wick
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2015, 13 (1), pp.367-398. ⟨10.1137/140967118⟩
Article dans une revue
hal-01114228v1
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A quasistatic phase field approach to pressurized fractures
Andro Mikelic
,
M.F. Wheeler
,
Thomas Wick
Article dans une revue
hal-01138344v2
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A Rigorous Derivation of the Equations for the Clamped Biot-Kirchhoff-Love Poroelastic plate
Anna Marciniak-Czochra
,
Andro Mikelic
Article dans une revue
hal-00863444v1
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Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization
Thomas Carraro
,
Christian Goll
,
Anna Marciniak-Czochra
,
Andro Mikelić
Article dans une revue
hal-00936627v1
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Experimental and numerical study of the interaction between fluid flow and filtering media on the macroscopic scale
N. Grosjean
,
D. Iliev
,
O. Iliev
,
R. Kirsch
,
Z. Lakdawala
Article dans une revue
hal-02072986v1
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Phase-field modeling of a fluid-driven fracture in a poroelastic medium
Andro Mikelic
,
M.F. Wheeler
,
Thomas Wick
Article dans une revue
hal-01202370v1
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A nonlinear effective slip interface law for transport phenomena between a fracture flow and a porous medium
Anna Marciniak-Czochra
,
Andro Mikelic
Article dans une revue
hal-00863443v1
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Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling
Grégoire Allaire
,
Robert Brizzi
,
Jean-François Dufrêche
,
Andro Mikelic
,
Andrey Piatnitski
Article dans une revue
hal-00863442v1
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Isothermal water flows in low porosity porous media in presence of vapor-liquid phase change
Angiolo Farina
,
Jonathan Bodin
,
Thierry Clopeau
,
Antonio Fasano
,
L. Meacci
Article dans une revue
hal-00864519v1
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Numerical convergence study of iterative coupling for coupled flow and geomechanics
Andro Mikelic
,
M.F. Wheeler
,
Bin Wang
Article dans une revue
hal-00913519v1
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Ion transport in porous media: derivation of the macroscopic equations using up-scaling and properties of the effective coefficients
Grégoire Allaire
,
Robert Brizzi
,
Jean-François Dufrêche
,
Andro Mikelic
,
Andrey Piatnitski
Article dans une revue
hal-00863401v1
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Effective slip law for general viscous flows over an oscillating surface
Andro Mikelic
,
Sárka Necasová
,
Maria Neuss-Radu
Article dans une revue
hal-00863979v1
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Pressure jump interface law for the Stokes-Darcy coupling: Confirmation by direct numerical simulations
Anna Marciniak-Czochra
,
Thomas Carraro
,
Goll Christian
,
Andro Mikelic
Article dans une revue
hal-00863354v1
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Convergence of iterative coupling for coupled flow and geomechanics
Andro Mikelic
,
M.F. Wheeler
Comput Geosci, 2013, 17 (3), pp.455-462
Article dans une revue
hal-00863357v1
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Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media
Grégoire Allaire
,
Jean-François Dufrêche
,
Andro Mikelic
,
Andrey Piatnitski
Article dans une revue
hal-00863403v1
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On the interface law between a deformable porous medium containing a viscous fluid and an elastic body
Andro Mikelic
,
M.F. Wheeler
Article dans une revue
hal-00863413v1
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Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization
Anna Marciniak-Czochra
,
Andro Mikelic
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2012, 10 (2), pp.285-305. ⟨10.1137/110838248⟩
Article dans une revue
hal-00863416v1
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Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system
Andro Mikelic
,
M.F. Wheeler
Article dans une revue
hal-00863409v1
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A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains
Andro Mikelic
,
Suncica Canic
,
Oleg Boiarkine
,
Dmitry V. Kuzmin
,
G. Guidoboni
Journal of Computational Physics, 2011, 230, pp.2896 -- 2914
Article dans une revue
hal-00863438v1
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Global-in-time solutions for the isothermal Matovich-Pearson equations
Eduard Feireisl
,
Philippe Laurencot
,
Andro Mikelic
Article dans une revue
hal-00488835v1
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Rigorous derivation of a hyperbolic model for Taylor dispersion
Andro Mikelic
,
C.J. van Duijn
Mathematical Models and Methods in Applied Sciences, 2011, 21 (5), pp.1095-1120
Article dans une revue
hal-00863431v1
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Homogenization-limit of a model system for interaction of flow, chemical reactions and mechanics in cell tissues
Andro Mikelic
,
Willi Jaeger
,
Maria Neuss-Radu
SIAM Journal on Mathematical Analysis, 2011, 43 (3), pp.1390--1435
Article dans une revue
hal-00863429v1
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Homogenization approach to the dispersion theory for reactive transport through porous media
Grégoire Allaire
,
Andro Mikelic
,
Andrey Piatnitski
SIAM Journal on Mathematical Analysis, 2010, 42 (1), pp.125-144
Article dans une revue
hal-00784056v1
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Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media
Grégoire Allaire
,
Robert Brizzi
,
Andro Mikelic
,
Andrey Piatnitski
Chemical Engineering Science, 2010, 65, pp.2292-2300
Article dans une revue
hal-00784057v1
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Asymptotic equations for the terminal phase of glass fiber drawing and their analysis
Thierry Clopeau
,
Angiolo Farina
,
Antonio Fasano
,
Andro Mikelić
Nonlinear Analysis: Real World Applications, 2010, 11 (6), pp.4533-4545
Article dans une revue
hal-00659536v1
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Polynomial filtration laws for low Reynolds number flows through porous media
Andro Mikelic
,
M.F. Wheeler
,
M. Balhoff
Transport in Porous Media, 2010, 81 (1), pp.35-60
Article dans une revue
hal-00937149v1
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A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
Andro Mikelic
Journal of Differential Equations, 2010, 248, pp.1561-1577
Article dans une revue
hal-00937153v1
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Rigorous upscaling of the reactive flow with finite kinetics and under dominant Peclet number
Catherine Choquet
,
Andro Mikelic
Continuum Mechanics and Thermodynamics, 2009, 21, pp.125-140
Article dans une revue
hal-00937074v1
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Analysis of differential equations modelling the reactive flow through a deformable system of cells
Andro Mikelic
,
Willi Jaeger
,
Maria Neuss-Radu
Archive for Rational Mechanics and Analysis, 2009, 192 (2), pp.331-374
Article dans une revue
hal-00937067v1
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An existence result for the equations describing a gas-liquid two-phase flow
Andro Mikelic
Comptes Rendus Mécanique, 2009, 337 (4), pp.226-232
Article dans une revue
hal-00937069v1
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Modeling effective interface laws for transport phenomena between an unconfined fluid and a porous medium using homogenization
Andro Mikelic
,
Willi Jaeger
Transport in Porous Media, 2009, 78 (3), pp.489-508
Article dans une revue
hal-00937075v1
|
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Homogenization approach to filtration through a fibrous medium
Mohamed Belhadj
,
Eric Cancès
,
Jean-Frédéric Gerbeau
,
Andro Mikelić
Article dans une revue
hal-00701778v1
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