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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 4, Pages 29–37 (Mi sjim802)  
This article is cited in 2 scientific papers (total in 2 papers)

Application of the finite element method for inverse problems of anomalous diffusion

A. N. Bondarenkoa, D. S. Ivashchenkob

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b RN-UfaNIPIneft, 3/1 Bekhterev st., 450103 Ufa
Full-text PDF (931 kB) Citations (2)
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Abstract: We consider some aspects of the application of the finite element method for the numerical solution of initial boundary value problems for a multidimensional time-fractional diffusion equation. A survey of the existing results is made, efficient algorithms for constructing meshes are discussed, and a number of numerical examples is exposed.
Keywords: finite element method, anomalous diffusion, fractional derivative, automatic mesh generation.
Received: 11.04.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 1, Pages 1–8
DOI: https://doi.org/10.1134/S1990478914010013
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. N. Bondarenko, D. S. Ivashchenko, “Application of the finite element method for inverse problems of anomalous diffusion”, Sib. Zh. Ind. Mat., 16:4 (2013), 29–37; J. Appl. Industr. Math., 8:1 (2014), 1–8
Citation in format AMSBIB
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\by A.~N.~Bondarenko, D.~S.~Ivashchenko
\paper Application of the finite element method for inverse problems of anomalous diffusion
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 4
\pages 29--37
\mathnet{http://mi.mathnet.ru/sjim802}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234790}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 1
\pages 1--8
\crossref{https://doi.org/10.1134/S1990478914010013}
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  • https://www.mathnet.ru/eng/sjim/v16/i4/p29
    • This publication is cited in the following 2 articles:
    1. Vitaly A. Likhoshvai, Vladimir P. Golubyatnikov, Tamara M. Khlebodarova, “Limit cycles in models of circular gene networks regulated by negative feedback loops”, BMC Bioinformatics, 21:S11 (2020)  crossref
    2. Zh. Li, O. Yu. Imanuvilov, M. Yamamoto, “Uniqueness in inverse boundary value problems for fractional diffusion equations”, Inverse Probl., 32:1 (2016), 015004  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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    Full-text PDF :339
    References:73
    First page:13
     
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