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The finite element method in anomalous diffusion problems

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Abstract

Under consideration are some aspects of application of the finite element method to numerical solution of the initial boundary value problems for a multidimensional time-fractional diffusion equation. Some survey of the available results is given, the algorithms for constructing meshes are discussed, and a few numerical examples are presented.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. N. Bondarenko

  2. RN-UfaNIPIneft, ul. Bekhtereva 3/1, Ufa, 450103, Russia

    D. S. Ivashchenko

Authors
  1. A. N. Bondarenko
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  2. D. S. Ivashchenko
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Correspondence to A. N. Bondarenko.

Additional information

Original Russian Text © A.N. Bondarenko, D.S. Ivashchenko, 2013, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2013, Vol. XVI, No. 4, pp. 29–37.

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Bondarenko, A.N., Ivashchenko, D.S. The finite element method in anomalous diffusion problems. J. Appl. Ind. Math. 8, 1–8 (2014). https://doi.org/10.1134/S1990478914010013

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  • DOI: https://doi.org/10.1134/S1990478914010013

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