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Mathematics

D-Index
46
Citations
8037
World Ranking
1368
National Ranking
74

Overview

Andro Mikelić is affiliated with Claude Bernard University Lyon 1 in France. Their research primarily focuses on the intersection of engineering and computer science, with particular emphasis on computational theory, mathematics, and computational mechanics.

Their research spans several subfields including:

  • Computational Theory and Mathematics
  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Geophysics

Key topics addressed in their work include:

  • Advanced Mathematical Modeling in Engineering
  • Advanced Numerical Methods in Computational Mathematics
  • Composite Material Mechanics
  • Hydraulic Fracturing and Reservoir Analysis
  • Seismic Imaging and Inversion Techniques
  • Computational Fluid Dynamics and Aerodynamics
  • Lattice Boltzmann Simulation Studies

Among the recent scientific papers authored or co-authored by Andro Mikelić are:

  • Homogenization approach to the upscaling of a reactive flow through particulate filters with wall integrated catalyst, 2020, Advances in Water Resources
  • Mathematical Theory of Nonlinear Single-Phase Poroelasticity, 2023, Journal of Nonlinear Science
  • Fluid structure interaction problems in deformable porous media: Toward permeability of deformable porous media, 2022, Publication Server of Kaiserslautern University of Technology
  • Mathematical Proof of the Mandel--Cryer Effect in Poroelasticity, 2021, Multiscale Modeling and Simulation
  • Mathematical theory and simulations of thermoporoelasticity, 2020, Computer Methods in Applied Mechanics and Engineering

The most frequent venues for their publications include:

  • Applicable Analysis
  • arXiv (Cornell University)
  • Journal of Nonlinear Science
  • Advances in Water Resources
  • Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology)

Collaborative research is a significant aspect of their work, with repeated partnerships involving co-authors such as:

  • C.J. van Duijn
  • Oleg Iliev
  • Thomas Wick
  • Andrey Piatnitski
  • Chris Kowall

This profile reflects Andro Mikelić's contributions to fields that bridge engineering disciplines and computational methods, establishing a diverse research portfolio focused on mathematical modeling and simulation techniques within multi-physics and porous media contexts.

Best Publications

  • On the interface boundary condition of Beavers, Joseph, and Saffman

    Willi Jäger;Andro Mikelić

  • On the Roughness-Induced Effective Boundary Conditions for an Incompressible Viscous Flow

    Willi Jäger;Andro Mikelić

  • Convergence of iterative coupling for coupled flow and geomechanics

    Andro Mikelic;M.F. Wheeler

  • FRICTIONAL CONTACT PROBLEMS WITH NORMAL COMPLIANCE

    A. Klarbring;A. Mikelić;M. Shillor

  • A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium

    Andro Mikelić;Mary F. Wheeler;Thomas Wick

  • On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions

    Thierry Clopeau;Andro Mikelic;Raoul Robert

  • On the boundary conditions at the contact interface between a porous medium and a free fluid

    Willi Jäger;Andro Mikelić

  • Stochastic two-scale convergence in the mean and applications

    Alain Bourgeat;Andro Mikelić;Steve Wright

  • Phase-field modeling of a fluid-driven fracture in a poroelastic medium

    Andro Mikelic;M.F. Wheeler;Thomas Wick;Thomas Wick

  • Convergence of the homogenization process for a double-porosity model of immiscible two-phase flow

    Alain Bourgeat;Stephan Luckhaus;Andro Mikelic

  • Homogenizing the acoustic properties of the seabed: part I

    R. P. Gilbert;A. Mikelić

  • MODELING VISCOELASTIC BEHAVIOR OF ARTERIAL WALLS AND THEIR INTERACTION WITH PULSATILE BLOOD FLOW

    Sunčica Čanić;Josip Tambača;Giovanna Guidoboni;Andro Mikelić

  • Asymptotic Analysis of the Laminar Viscous Flow Over a Porous Bed

    Willi Jäger;Andro Mikelic;Nicolas Neuss

  • Numerical convergence study of iterative coupling for coupled flow and geomechanics

    Andro Mikelić;Bin Wang;Mary F. Wheeler

  • On friction problems with normal compliance

    A. Klarbring;A. Mikelic;M. Shillor

  • A quasi-static phase-field approach to pressurized fractures

    Andro Mikelić;Mary F Wheeler;Thomas Wick

  • Blood Flow in Compliant Arteries: An Effective Viscoelastic Reduced Model, Numerics, and Experimental Validation

    Sunčica Čanić;Craig J. Hartley;Doreen Rosenstrauch;Josip Tambača

  • Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary

    A. Mikelić

  • A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure

    Andro Mikelić

  • Reactive transport through an array of cells with semi-permeable membranes

    U. Hornung;W. Jäger;A. Mikelić

  • 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 Mikelić

Frequent Co-Authors

Mary F. Wheeler
Mary F. Wheeler The University of Texas at Austin
Andrey Piatnitski
Andrey Piatnitski University of Tromsø - The Arctic University of Norway
Sunčica Čanić
Sunčica Čanić University of California, Berkeley
Meir Shillor
Meir Shillor Oakland University
Grégoire Allaire
Grégoire Allaire École Polytechnique
Giuseppe Saccomandi
Giuseppe Saccomandi University of Perugia
Axel Klar
Axel Klar Technical University of Kaiserslautern
Eleuterio F. Toro
Eleuterio F. Toro University of Trento
Charles M. Elliott
Charles M. Elliott University of Warwick
Matthew T. Balhoff
Matthew T. Balhoff The University of Texas at Austin

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