Andro Mikelic

Identifiants chercheurs

IdHAL :

andro-mikelic

ORCID :

0000-0002-4752-8705

IdRef :

105987956

Présentation

Publications

Article dans une revue (54)

Mathematical Theory of Nonlinear Single-Phase Poroelasticity Cornelis Johannes van Duijn,Andro Mikelic Journal of Nonlinear Science, 2023, 33 (44), ⟨10.1007/s00332-023-09896-z⟩ Article dans une revue hal-02144933v1
Non-linear boundary condition for non-ideal electrokinetic equations in porous media Grégoire Allaire,Robert Brizzi,Christophe Labbez,Andro Mikelić Applicable Analysis, 2022, 101 (12), pp.4203-4234. ⟨10.1080/00036811.2022.2080672⟩ Article dans une revue hal-03606572v1
Mandel's problem as a benchmark for two-dimensional nonlinear poroelasticity C. J. Van Duijn,Andro Mikelic,Thomas Wick Applicable Analysis, 2022, 101 (12), pp.4267-4293. ⟨10.1080/00036811.2022.2091992⟩ Article dans une revue hal-04134123v1
Long-time shadow limit for a reaction–diffusion-ODE system Chris Kowall,Anna Marciniak-Czochra,Andro Mikelic Applied Mathematics Letters, 2021, 112, pp.106790. ⟨10.1016/j.aml.2020.106790⟩ Article dans une revue hal-04134270v1
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
Homogenization approach to the upscaling of a reactive flow through particulate filters with wall integrated catalyst Oleg Iliev,Andro Mikelic,Torben Prill,Arsha Sherly Advances in Water Resources, 2020, 146, pp.103779. ⟨10.1016/j.advwatres.2020.103779⟩ Article dans une revue hal-04135087v1
Mathematical theory and simulations of thermoporoelasticity Cornelis J van Duijn,Andro Mikelic,Thomas Wick Computer Methods in Applied Mechanics and Engineering, inPress, ⟨10.1016/j.cma.2020.113048⟩ Article dans une revue hal-02429820v1
Derivation of a poroelastic elliptic membrane shell model Andro Mikelic,Josip Tambača Applicable Analysis, 2019, 98 (1-2), pp.136-161. ⟨10.1080/00036811.2018.1430784⟩ Article dans une revue hal-01488396v1
Thermoporoelasticity via homogenization I. Modeling and formal two-scale expansions Cornelis Johannes van Duijn,Andro Mikelic,Mary Wheeler,Thomas Wick International Journal of Engineering Science, 2019, 138, ⟨10.1016/j.ijengsci.2019.02.005⟩ Article dans une revue hal-01650194v1
A monolithic phase-field model of a fluid-driven fracture in a nonlinear poroelastic medium Cornelis Johannes van Duijn,Andro Mikelic,Thomas Wick Mathematics and Mechanics of Solids, 2019, 24 (5), pp.1530-1555. ⟨10.1177/1081286518801050⟩ Article dans une revue hal-02072945v1
Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium Andro Mikelic,M. Wheeler,T. Wick GEM - International Journal on Geomathematics, 2019, 10 (1), ⟨10.1007/s13137-019-0113-y⟩ Article dans une revue hal-02072936v1
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
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
Effective pressure boundary condition for the filtration through porous medium via homogenization Thomas Carraro,Eduard Marusic-Paloka,Andro Mikelic Nonlinear Analysis: Real World Applications, 2018, 44, pp.149-172. ⟨10.1016/j.nonrwa.2018.04.008⟩ Article dans une revue hal-01484775v1
SHADOW LIMIT FOR PARABOLIC-ODE SYSTEMS THROUGH A CUT-OFF ARGUMENT Anna Marciniak-Czochra,Andro Mikelic Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. , 2017, 21, pp.99-116. ⟨10.21857/ydkx2c3rp9⟩ Article dans une revue hal-01531288v1
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
Analytical and variational numerical methods for unstable miscible displacement flows in porous media Guglielmo Scovazzi,Mary Wheeler,Andro Mikelic,Sanghyun Lee Journal of Computational Physics, 2017, 335, pp.444--496. ⟨10.1016/j.jcp.2017.01.021⟩ Article dans une revue hal-01380352v1
Ion transport through deformable porous media:derivation of the macroscopic equations using upscaling Grégoire Allaire,Olivier Bernard,Jean-François Dufrêche,Andro Mikelic Computational & Applied Mathematics, 2017, 36, pp.1431-1462. ⟨10.1007/s40314-016-0321-0⟩ Article dans une revue hal-01278241v1
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
Ion transport through deformable porous media: derivation of the macroscopic equations using upscaling Grégoire Allaire,Olivier Bernard,Jean-François Dufrêche,Andro Mikelić Computational & Applied Mathematics, 2016, 36 (3), pp.1431-1462. ⟨10.1007/s40314-016-0321-0⟩ Article dans une revue hal-01215457v1
Phase-field modeling of proppant-filled fractures in a poroelastic medium Sanghyun Lee,Andro Mikelic,Mary F Wheeler,Thomas Wick Computer Methods in Applied Mechanics and Engineering, 2016, 312, pp.509-541. ⟨10.1016/j.cma.2016.02.008⟩ Article dans une revue hal-01278240v1
A quasistatic phase field approach to pressurized fractures Andro Mikelic,M.F. Wheeler,Thomas Wick Nonlinearity, 2015, 28 (5), pp.1371-1399. ⟨10.1088/0951-7715/28/5/1371⟩ Article dans une revue hal-01138344v2
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
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. Lakdawalaet al. Separation and Purification Technology, 2015, 156, pp.22-27. ⟨10.1016/j.seppur.2015.09.010⟩ Article dans une revue hal-02072986v1
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 Computer Methods in Applied Mechanics and Engineering, 2015, 292, pp.195--220. ⟨10.1016/j.cma.2014.10.050⟩ Article dans une revue hal-00936627v1
A Rigorous Derivation of the Equations for the Clamped Biot-Kirchhoff-Love Poroelastic plate Anna Marciniak-Czochra,Andro Mikelic Archive for Rational Mechanics and Analysis, 2015, 215, pp.1035--1062. ⟨10.1007/s00205-014-0805-2⟩ Article dans une revue hal-00863444v1
Phase-field modeling of a fluid-driven fracture in a poroelastic medium Andro Mikelic,M.F. Wheeler,Thomas Wick Computational Geosciences, 2015, 19 (6), pp.1171-1195. ⟨10.1007/s10596-015-9532-5⟩ Article dans une revue hal-01202370v1
Numerical convergence study of iterative coupling for coupled flow and geomechanics Andro Mikelic,M.F. Wheeler,Bin Wang Computational Geosciences, 2014, 18, pp.325--341. ⟨10.1007/s10596-013-9393-8⟩ Article dans une revue hal-00913519v1
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 Physica D: Nonlinear Phenomena, 2014, 282, pp.39-60. ⟨10.1016/j.physd.2014.05.007⟩ Article dans une revue hal-00863442v1
A nonlinear effective slip interface law for transport phenomena between a fracture flow and a porous medium Anna Marciniak-Czochra,Andro Mikelic Discrete and Continuous Dynamical Systems - Series S, 2014, 7, pp.1065-1077. ⟨10.3934/dcdss.2014.7.1065⟩ Article dans une revue hal-00863443v1
Isothermal water flows in low porosity porous media in presence of vapor-liquid phase change Angiolo Farina,Jonathan Bodin,Thierry Clopeau,Antonio Fasano,L. Meacciet al. Nonlinear Analysis: Real World Applications, 2014, 15, pp.306-325. ⟨10.1016/j.nonrwa.2011.11.021⟩ Article dans une revue istex hal-00864519v1
Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media Grégoire Allaire,Jean-François Dufrêche,Andro Mikelic,Andrey Piatnitski Nonlinearity, 2013, 26, pp.881--910. ⟨10.1088/0951-7715/26/3/881⟩ Article dans une revue hal-00863403v1
Effective slip law for general viscous flows over an oscillating surface Andro Mikelic,Sárka Necasová,Maria Neuss-Radu Mathematical Methods in the Applied Sciences, 2013, 36, p. 2086-2100. ⟨10.1002/mma.2923⟩ Article dans une revue hal-00863979v1
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 Computational Geosciences, 2013, 17 (3), pp.479-496. ⟨10.1007/s10596-013-9342-6⟩ Article dans une revue istex hal-00863401v1
Pressure jump interface law for the Stokes-Darcy coupling: Confirmation by direct numerical simulations Anna Marciniak-Czochra,Thomas Carraro,Goll Christian,Andro Mikelic Journal of Fluid Mechanics, 2013, 732, pp.510-536. ⟨10.1017/jfm.2013.416⟩ Article dans une revue hal-00863354v1
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
On the interface law between a deformable porous medium containing a viscous fluid and an elastic body Andro Mikelic,M.F. Wheeler Mathematical Models and Methods in Applied Sciences, 2012, 22 (11), 1240031 (32 p.). ⟨10.1142/S0218202512500315⟩ Article dans une revue hal-00863413v1
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
Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system Andro Mikelic,M.F. Wheeler Journal of Mathematical Physics, 2012, 53 (12), pp.123702. ⟨10.1063/1.4764887⟩ Article dans une revue hal-00863409v1
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
Homogenization of the linearized ionic transport equations in rigid periodic porous media Grégoire Allaire,Andro Mikelic,Andrey Piatnitski Journal of Mathematical Physics, 2011, 52 (6), pp.063701. ⟨10.1063/1.3521555⟩ Article dans une revue hal-00784050v1
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
Global-in-time solutions for the isothermal Matovich-Pearson equations Eduard Feireisl,Philippe Laurencot,Andro Mikelic Nonlinearity, 2011, 24, pp.277-292. ⟨10.1088/0951-7715/24/1/014⟩ Article dans une revue hal-00488835v1
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
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
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
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
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
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
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
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
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
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
Homogenization approach to filtration through a fibrous medium Mohamed Belhadj,Eric Cancès,Jean-Frédéric Gerbeau,Andro Mikelić Networks and Heterogeneous Media, 2007, 2 (3), pp.529-550. ⟨10.3934/nhm.2007.2.529⟩ Article dans une revue hal-00701778v1

Communication dans un congrès (1)

Taylor's Dispersion for Reactive Transport Model Using Asymptotic Methos Andro Mikelic,Vincent Devigne,C.J. van Duijn Fourth Conference on Applied Mathematics and Scientific Computing, Jun 2005, Brijuni, Croatia Communication dans un congrès emse-00411882v1

Ouvrages (1)

Mathematical Models in the Manufacturing of Glass Antonio Fasano,Angiolo Farina,Axel Klar,Robert Mattheij,Andro Mikelicet al. Springer Verlag, pp.227, 2011, Lecture Notes in Mathematics Vol. 2010, C.I.M.E. Foundation Subseries, 978-3-642-15966-4 Ouvrages hal-00864520v1

Chapitre d'ouvrage (4)

An introduction to the homogenization modeling of non-Newtonian and electrokinetic flows in porous media Andro Mikelic Springer. New trends in non-newtonian fluid mechanics and complex flow, 2212, Springer, pp.171-227, 2017, Lecture Notes Centro Internazionale Matematico Estivo (C.I.M.E.) Series, Lecture Notes in Mathematics, Springer Chapitre d'ouvrage hal-01488276v1
Non-Isothermal Flow of Molten Glass: Mathematical Challenges and Industrial Questions Andro Mikelic,A. Fasano,Angiolo Farina A. Fasano. Mathematical Models in the Manufacturing of Glass, Springer, pp.173-224, 2011, Lecture Notes in Mathematics Vol. 2010 Chapitre d'ouvrage hal-00937165v1
Existence of a unique solution to a nonlinear moving-boundary problem of mixed type arising in modeling blood flow Andro Mikelic,Suncica Canic,T.-B. Kim,G. Guidoboni A. Bressan, Gui-Qiang Chen, M. Lewicka, D. Wang. IMA Volume on Nonlinear Conservation Laws and Applications, Springer, pp.235 -256, 2011, IMA Volume on Nonlinear Conservation Laws and Applications Chapitre d'ouvrage hal-00937171v1
Rough boundaries and wall laws Andro Mikelic E. Feireisl, P. Kaplicky J. Malek. Qualitative properties of solutions to partial differential equations, Matfyzpress, pp.103 - 134, 2009, Lecture notes of Necas Center for mathematical modeling Chapitre d'ouvrage hal-00937163v1

Rapport (1)

Homogenization approach to filtration through a fibrous medium Mohamed Belhadj,Eric Cancès,Jean-Frédéric Gerbeau,Andro Mikelic [Research Report] RR-5277, INRIA. 2004 Rapport (rapport de recherche) inria-00071254v1