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Mathematical Modelling and Analysis Volume 13, 2008 - Issue 2
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Original Articles

On the solution of the steady‐state diffusion problem for ferromagnetic particles in a magnetic fluid

V. Polevikov Chair of Computational Mathematics, Belarusian State University, 4 Independence Ave., Minsk, 220030, Belarus E-mail: [email protected]
&
L. Tobiska Institute for Analysis and Computational Mathematics, Otto‐von‐Guericke University Magdeburg, PF4120, Magdeburg, D‐39016, Germany E-mail: [email protected]‐magdeburg.de
Pages 233-240 | Received 01 Nov 2007, Published online: 14 Oct 2010

Citations (12)

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Read on this site (2)

V. Polevikov & L. Tobiska. (2011) ADI Approach to the Particle Diffusion Problem in Magnetic Fluids. Mathematical Modelling and Analysis 16:1, pages 62-71.
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O. Lavrova, V. Polevikov & L. Tobiska. (2010) Numerical study of the Rosensweig instability in a magnetic fluid subject to diffusion of magnetic particles. Mathematical Modelling and Analysis 15:2, pages 223-233.
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Articles from other publishers (10)

Ming-Hsien Chan, Chien-Hsiu Li, Yu-Chan Chang & Michael Hsiao. (2022) Iron-Based Ceramic Composite Nanomaterials for Magnetic Fluid Hyperthermia and Drug Delivery. Pharmaceutics 14:12, pages 2584.
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Olga Lavrova & Viktor Polevikov. (2022) NUMERICAL STUDY OF THE SHIELDING PROPERTIES OF A FERROFLUID TAKING INTO ACCOUNT MAGNITOPHORESIS AND PARTICLE INTERACTION. Mathematical Modelling and Analysis 27:1, pages 161-178.
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G. Grün & P. Weiß. (2020) On the Field-Induced Transport of Magnetic Nanoparticles in Incompressible Flow: Existence of Global Solutions. Journal of Mathematical Fluid Mechanics 23:1.
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Viktor K. Polevikov. (2019) A monotone finite-difference high order accuracy scheme for the 2D convection – diffusion equations. Journal of the Belarusian State University. Mathematics and Informatics:3, pages 71-83.
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G. Grün & P. Weiß. (2019) On the field-induced transport of magnetic nanoparticles in incompressible flow: Modeling and numerics. Mathematical Models and Methods in Applied Sciences 29:12, pages 2321-2357.
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Dominik Himmelsbach, Maria Neuss-Radu & Nicolas Neuß. (2018) Mathematical modelling and analysis of nanoparticle gradients induced by magnetic fields. Journal of Mathematical Analysis and Applications 461:2, pages 1544-1560.
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Klim Kavaliou & Lutz Tobiska. (2012) A finite element method for a noncoercive elliptic problem with Neumann boundary conditions. PAMM 12:1, pages 671-672.
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V. Polevikov & L. Tobiska. (2011) Influence of diffusion of magnetic particles on stability of a static magnetic fluid seal under the action of external pressure drop. Communications in Nonlinear Science and Numerical Simulation 16:10, pages 4021-4027.
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Sergey Beresnev, Viktor Polevikov & Lutz Tobiska. (2009) Numerical study of the influence of diffusion of magnetic particles on equilibrium shapes of a free magnetic fluid surface. Communications in Nonlinear Science and Numerical Simulation 14:4, pages 1403-1409.
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S. Beresnev, V. Polevikov & L. Tobiska. 2008. Micro-Macro-interaction. Micro-Macro-interaction 277 284 .

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