AM

Andro Mikelic

61
Documents
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Publications

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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
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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
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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
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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

Advances in Water Resources, 2020, 146, pp.103779. ⟨10.1016/j.advwatres.2020.103779⟩

Article dans une revue hal-04135087v1

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

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
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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
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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
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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
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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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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
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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

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
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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

Computational & Applied Mathematics, 2016, 36 (3), pp.1431-1462. ⟨10.1007/s40314-016-0321-0⟩

Article dans une revue hal-01215457v1

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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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 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

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 et 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
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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
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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

Nonlinearity, 2015, 28 (5), pp.1371-1399. ⟨10.1088/0951-7715/28/5/1371⟩

Article dans une revue hal-01138344v2
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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

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

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

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 et 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

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

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

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

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

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

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

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

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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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

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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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
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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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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

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

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

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

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

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

Mathematical Models in the Manufacturing of Glass

Antonio Fasano , Angiolo Farina , Axel Klar , Robert Mattheij , Andro Mikelic et 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
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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

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

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

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