A. L. Karchevsky

ORCID: 0000-0003-1338-5723
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About
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Research Areas
  • Numerical methods in inverse problems
  • Fluid Dynamics and Heat Transfer
  • Geotechnical and Geomechanical Engineering
  • Advanced Mathematical Modeling in Engineering
  • Coal Properties and Utilization
  • Mining and Gasification Technologies
  • Nanomaterials and Printing Technologies
  • Fluid Dynamics and Thin Films
  • Hydraulic Fracturing and Reservoir Analysis
  • Heat Transfer and Mathematical Modeling
  • Industrial Engineering and Technologies
  • Rock Mechanics and Modeling
  • Seismic Imaging and Inversion Techniques
  • Hydrocarbon exploration and reservoir analysis
  • Electrical and Bioimpedance Tomography
  • Surface Modification and Superhydrophobicity
  • Geophysical and Geoelectrical Methods
  • Engineering and Environmental Studies
  • nanoparticles nucleation surface interactions
  • Engineering and Agricultural Innovations
  • Fractional Differential Equations Solutions
  • Electromagnetic Simulation and Numerical Methods
  • Microwave Imaging and Scattering Analysis
  • Reservoir Engineering and Simulation Methods
  • Material Properties and Applications

Sobolev Institute of Mathematics
2014-2023

Novosibirsk State University
1999-2023

Institute of Thermophysics
2021-2023

Russian Academy of Sciences
2008-2022

Research Institute of Comprehensive Exploitation of Mineral Resources
2016-2017

Siberian Branch of the Russian Academy of Sciences
2013-2015

10.1016/j.apm.2015.06.018 article EN publisher-specific-oa Applied Mathematical Modelling 2015-07-22

Evaporating water drops on a horizontal heated substrate were investigated experimentally. The heater was made of constantan foil with the thickness 25 μ m and size 42 × 35 mm 2 . temperature bottom surface measured by infrared (IR) camera. To determine heat flux density during evaporation liquid near contact line, Cauchy problem for equation solved using data. maximum is obtained in line region exceeds average from entire factor 5–7. wetted drop 3–5. This fact explained influx periphery to...

10.1155/2015/391036 article EN cc-by International Journal of Aerospace Engineering 2015-01-01

10.32523/2306-3172-2013-1-2-4-20 article EN Eurasian Journal of Mathematical and Computer Applications 2013-01-01

10.32523/2306-6172-2013-1-2-4-20 article EN Eurasian Journal of Mathematical and Computer Applications 2013-01-01

Abstract The algorithm of reconstruction pressure velocities in a thinly stratified layer and the location gap points medium is suggested. analytic expressions for derivatives residual functional with respect to thin layers by coordinate are obtained. suggested tested numerical examples.

10.1515/jiip.2010.015 article EN Journal of Inverse and Ill-Posed Problems 2010-10-01

10.1134/s199047891704010x article EN Journal of Applied and Industrial Mathematics 2017-10-01

10.1134/s1990478918030079 article EN Journal of Applied and Industrial Mathematics 2018-07-01

In this paper, the coefficient inverse problem for elasticity system horizontally stratified media is considered. The different numerical experiments solving are presented. with residual functional allow us to formulate minimization strategy in frequency domain. pressure and shear velocities member of thin layers numerically reconstructed by means strategy.

10.1088/0266-5611/20/3/018 article EN Inverse Problems 2004-05-21

In this paper we introduce the generalization of known technique gradient construction based on conjugate problem for case when unknown function is complex-valued. We notion frequency. The frequency helps to estimate possibility simultaneous determination dielectric permeability and conductivity.

10.1515/jiip.2009.026 article EN Journal of Inverse and Ill-Posed Problems 2009-01-01

In the paper we numerically solve an inverse problem of determination medium parameters a member thin anisotropic layers for elasticity system. We also investigate case transversely isotropic with symmetry axis lying in plane Oxy. For example, this model can describe vertically fractured medium. present one possible ways numerical solution problem. Examples reconstruction show efficiency algorithm offered.

10.1515/1569394042531332 article EN Journal of Inverse and Ill-Posed Problems 2004-10-01

The paper presents an improvement of the heated thin foil technique, which allows to study nonstationary transport processes. Mathematically, problem is reduced solving heat equation with data on a time-like surface. A new numerical method for its proposed. efficiency proposed calculation scheme demonstrated model example.

10.1615/interfacphenomheattransfer.2018028949 article EN Interfacial phenomena and heat transfer 2018-01-01

In the paper we numerically solve an inverse problem of determination medium parameters a member thin anisotropic layers for elasticity system. We also investigate case transversely isotropic with symmetry axis lying in plane Oxy. For example, this model can describe vertically fractured medium. present one possible ways numerical solution problem. Examples reconstruction show efficiency algorithm offered.

10.1163/1569394042531332 article EN Journal of Inverse and Ill-Posed Problems 2004-10-01

10.32523/2306-6172-2018-6-4-62-72 article EN Eurasian Journal of Mathematical and Computer Applications 2018-01-01

Stress-strain state horizontal coal seam of finite lengthAs the result work, analytical expressions for calculation tension in stratum terminating length, which is under influence overlying breeds and between two drifts are received.The decision presented form sum a polynom convergent series.For determination coefficients row it not required to solve infinite systems algebraic equations.It promotes fast numerical finding sizes with an accuracy, sufficient practice.The given can be used...

10.31489/2018m2/133-142 article EN cc-by-nc-nd BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 2018-06-30
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