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  1. 1.
    0571367 - MÚ 2024 RIV DE eng J - Journal Article
    Pires, M. - Bodnár, Tomáš
    Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations.
    SN Applied Sciences. Roč. 5, č. 5 (2023), č. článku 135. ISSN 2523-3963
    Institutional support: RVO:67985840
    Keywords : artificial diffusion stabilization * finite element method * Oldroyd-B fluid * stress diffusion
    OECD category: Pure mathematics
    Impact factor: 2.6, year: 2022
    Method of publishing: Open access
    https://doi.org/10.1007/s42452-023-05348-1
    Permanent Link: https://hdl.handle.net/11104/0342604
    FileDownloadSizeCommentaryVersionAccess
    Bodnar.pdf09 MBPublisher’s postprintopen-access
     
     
  2. 2.
    0556906 - MÚ 2023 RIV CH eng J - Journal Article
    Bodnár, Tomáš - Sequeira, A.
    Analysis of the Shear-Thinning viscosity behavior of the Johnson-Segalman viscoelastic fluids.
    Fluids. Roč. 7, č. 1 (2022), č. článku 36. E-ISSN 2311-5521
    R&D Projects: GA ČR(CZ) GA19-04243S
    Institutional support: RVO:67985840
    Keywords : generalized Oldroyd-B model * Johnson-Segalman model * Shear-thinning viscosity * viscoelastic fluid
    OECD category: Pure mathematics
    Impact factor: 1.9, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/fluids7010036
    Permanent Link: http://hdl.handle.net/11104/0331022
    FileDownloadSizeCommentaryVersionAccess
    Bodnar3.pdf24.6 MBPublisher’s postprintopen-access
     
     
  3. 3.
    0554563 - MÚ 2022 RIV CZ eng C - Conference Paper (international conference)
    Pires, M. - Bodnár, Tomáš
    Numerical tests of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations.
    Proceedings of Topical Problems of Fluid Mechanics 2021. Prague: Institute of Thermomechanics AS CR, v. v. i., 2021 - (Bodnár, T.; Neustupa, T.; Šimurda, D.), s. 102-109. ISBN 978-80-87012-76-5. ISSN 2336-5781.
    [Topical Problems of Fluid Mechanics 2021. on-line (CZ), 17.02.2021-19.02.2021]
    R&D Projects: GA ČR(CZ) GA19-04243S
    Institutional support: RVO:67985840
    Keywords : finite element method * oldroyd-B fluid * numerical stabilization * stress diffusion
    OECD category: Pure mathematics
    https://doi.org/10.14311/TPFM.2021.014
    Permanent Link: http://hdl.handle.net/11104/0329272
    FileDownloadSizeCommentaryVersionAccess
    Bodnar3.pdf21.3 MBPublisher’s postprintopen-access
     
     
  4. 4.
    0552865 - MÚ 2023 RIV CH eng J - Journal Article
    Pires, M. - Bodnár, Tomáš
    Temporal artificial stress diffusion for numerical simulations of Oldroyd-B fluid flow.
    Mathematics. Roč. 10, č. 3 (2022), č. článku 404. E-ISSN 2227-7390
    R&D Projects: GA ČR(CZ) GA19-04243S
    Institutional support: RVO:67985840
    Keywords : finite element method * numerical diffusion * Oldroyd-B model * viscoelastic fluids
    OECD category: Pure mathematics
    Impact factor: 2.4, year: 2022
    Method of publishing: Open access
    https://doi.org/10.3390/math10030404
    Permanent Link: http://hdl.handle.net/11104/0327958
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    Bodnar.pdf42.9 MBPublisher’s postprintopen-access
     
     
  5. 5.
    0523867 - MÚ 2021 RIV CZ eng C - Conference Paper (international conference)
    Pires, M. - Bodnár, Tomáš
    On the influence of diffusion stabilization in Oldroyd-B fluid flow simulations.
    Proceedings of Topical Problems of Fluid Mechanics 2020. Praha: Institute of Thermomechanics of the Czech Academy of Sciences, 2020 - (Šimurda, D.; Bodnár, T.), s. 176-183. ISBN 978-80-87012-74-1. ISSN 2336-5781.
    [Topical Problems of Fluid Mechanics 2020. Prague (CZ), 19.02.2020-21.02.2020]
    R&D Projects: GA ČR(CZ) GA19-04243S
    Institutional support: RVO:67985840
    Keywords : finite element method * Oldroyd-B fluid * numerical stabilization * stres diffusion
    OECD category: Pure mathematics
    https://doi.org/10.14311/TPFM.2020.023
    Permanent Link: http://hdl.handle.net/11104/0308144
    FileDownloadSizeCommentaryVersionAccess
    Bodnar1.pdf11.1 MBPublisher’s postprintopen-access
     
     
  6. 6.
    0460085 - MÚ 2017 RIV DE eng J - Journal Article
    Lukáčová-Medviďová, M. - Mizerová, H. - She, B. - Stebel, Jan
    Error analysis of the finite element and finite volume methods for some viscoelastic fluids.
    Journal of Numerical Mathematics. Roč. 24, č. 2 (2016), s. 105-123. ISSN 1570-2820. E-ISSN 1569-3953
    R&D Projects: GA ČR(CZ) GAP201/11/1304
    Institutional support: RVO:67985840
    Keywords : error analysis * Oldroyd-B type models * viscoelastic fluids
    Subject RIV: BA - General Mathematics
    Impact factor: 0.405, year: 2016
    http://www.degruyter.com/view/j/jnma.2016.24.issue-2/jnma-2014-0057/jnma-2014-0057.xml
    Permanent Link: http://hdl.handle.net/11104/0260224
    FileDownloadSizeCommentaryVersionAccess
    Stebel.pdf11.6 MBPublisher’s postprintrequire
     
     
  7. 7.
    0364538 - ÚT 2012 RIV US eng J - Journal Article
    Bodnár, Tomáš - Sequeira, A. - Prosi, M.
    On the shear-thinning and viscoelastic effects of blood flow under various flow rates.
    Applied Mathematics and Computation. Roč. 217, č. 11 (2011), s. 5055-5067. ISSN 0096-3003. E-ISSN 1873-5649
    Institutional research plan: CEZ:AV0Z20760514
    Keywords : non-Newtonian * viscoelastic * Oldroyd-B * finite-volume * blood flow
    Subject RIV: BK - Fluid Dynamics
    Impact factor: 1.317, year: 2011
    http://www.sciencedirect.com/science/article/pii/S009630031000799X
    Permanent Link: http://hdl.handle.net/11104/0200004
     
     
  8. 8.
    0332650 - ÚT 2010 RIV US eng C - Conference Paper (international conference)
    Bodnár, Tomáš - Sequeira, A. - Pirkl, L.
    Numerical Simulations of Blood Flow in a Stenosed Vessel under Different Flow Rates using a Generalized Oldroyd - B Model.
    Numerical Analysis and Applied Mathematics. Vol. 2. Melville, New York: American Institute of Physics, 2009 - (Simos, T.; Psihoyios, G.; Tsitouras, C.), s. 645-648. AIP Conference Proceedings, 1168. ISBN 978-0-7354-0708-4. ISSN 0094-243X.
    [International Conference on Numerical Analysis and Applied Mathematics. Rethymno (GR), 18.09.2009-22.09.2009]
    Institutional research plan: CEZ:AV0Z20760514
    Keywords : non-Newtonian * viscoelastic * Oldroyd-B * finite-volume * blood
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0177846
     
     


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