Mgr. Jana Hoderová, Ph.D.

E-mail:   hoderova@fme.vutbr.cz 
WWW:   http://www.mat.fme.vutbr.cz/home/hoderova
Dept.:   Institute of Mathematics
Position:   Institute Secretary
Room:   A1/1827
Dept.:   Institute of Mathematics
Dept. of Computer Graphics and Geometry
Position:   Assistant Professor
Room:   A1/1827

Education and academic qualification

  • 1998, Mgr., Faculty of Science MU Brno, Teacher Training in Mathematics and Descriptive Geometry branch
  • 2005, Ph.D., Fakulty of Mechanical Engineering BUT, Mathematical Engineering branch

Career overview

  • 1998-2005, Lecturer, Institute of Mathematics FME BUT
  • 2005-up to now, Senior Lecturer, Institute of Mathematics FME BUT

Pedagogic activities

  • Mathematics I and II, Constructive and Computer Geometry, Computer Geometry and Graphics, Mathematical Analysis I and II

Scientific activities

  • The main area of research: The finite element method, semiregular finite elements, interpolation

Projects

  • FRVŠ 1402/2007: Inovation of teaching calculus of Mathematical engineering
  • GA201/97/0153: Mathematical modelling of some problems in Continuum mechanics
  • GA201/00/0557: Mathematical modelling of some problems in Continuum mechanics
  • GA201/03/0570: Mathematical modelling of some problems in Continuum mechanics
  • MSM 262100001: Computational end physical modelling in termofluid machanics, mechanics of solids and phase transitions

Supervised courses:

Publications:

  • RUDOLFOVÁ, Z.; HODEROVÁ, J.:
    A numerical characterization of nanoparticle distribution on surface of a semiconductor,
    Mendel Journal series, pp.125-132, ISBN 1803-3814, (2017)
    journal article in Scopus
  • HODEROVÁ, J.:
    The numerical analysis of the elliptic problem by the semiregular finite elements, Taras Shevchenko National University of Kyiv
    abstract
  • HODEROVÁ, J.:
    Maximum angle condition in the case of some nonlinear elliptic problems,
    Tavricheskiy vestnik informatiki i matematiki, Vol.2007, (2007), No.2, pp.13-23, ISSN 1729-3901
    journal article - other
  • HODEROVÁ, J.; HLAVIČKA, R.:
    Inovative Calculus Lectures,
    Sborník ze 16. semináře Moderní matematické metody v inženýrství, pp.86-89, ISBN 978-80-248-1649-4, (2007), VŠB - Technická univerzita
    conference paper
    akce: 16. ročník semináře Moderní matematické metody v inženýrství, Dolní Lomná u Jablunkova, 04.06.2007-06.06.2007
  • HLAVIČKA, R.; HODEROVÁ, J.:
    Building FEA components for the .Net platform,
    5. Konference o matematice a fyzice na vysokých školách technických, pp.84-93, ISBN 978-80-7231-274-0, (2007), Univerzita obrany
    conference paper
    akce: 5. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí, Univerzita obrany, Brno, 13.09.2007-13.09.2007
  • HLAVIČKA, R.; HODEROVÁ, J.:
    C# and C++/CLI Interoperability for Scientific Computing,
    Sborník ze 16. semináře Moderní matematické metody v inženýrství, pp.81-86, ISBN 978-80-248-1649-4, (2007), VŠB
    conference paper
    akce: 16. ročník semináře Moderní matematické metody v inženýrství, Dolní Lomná u Jablunkova, 04.06.2007-06.06.2007
  • HODEROVÁ, J.; HLAVIČKA, R.:
    Programování dynamických webových stránek a jejich následné využití,
    Sborník z 15. semináře Moderní matematické metody v inženýrství, pp.68-72, ISBN 80-248-1224-X, (2006), VŠB - Technická univerzita
    conference paper
    akce: 15. ročník semináře Moderní matematické metody v inženýrství 3mí, Dolní Lomná, Jestřábský potok, 29.05.2006-31.05.2006
  • HODEROVÁ, J.; HLAVIČKA, R.:
    Informační portál "Matematika online" - podpora výuky pomocí dynamických webových stránek,
    Pedagogický software 2006, pp.234-236, ISBN 80-85645-56-4, (2006), Scientific Pedagogical Publishing
    conference paper
    akce: Pedagogický software 2006, České Budějovice, 07.06.2006-08.06.2006
  • HODEROVÁ, J.:
    Problémy s použitím semiregulárních kubických čtyřstěnů v metodě konečných prvků,
    Sborník ze 14. semináře Moderní matematické metody v inženýrství, pp.38-42, ISBN 80-248-0951-6, (2005), VŠB - Technická univerzita Ostrava
    conference paper
    akce: 14.ročník semináře Moderní matematické metody v inženýrství, Dolní Lomná u Jablunkova, 30.05.2005-01.06.2005
  • ŽENÍŠEK, A., HODEROVÁ, J.:
    Semiregular Hermite tetrahedral finite elements,
    Application of Mathematics, Vol.2001, (2001), No.40, pp.295-315, ISSN 0373-6725
    journal article - other
  • ZLÁMALOVÁ, J.:
    Semiregular finite elements in solving some nonlinear problem,
    APPLICATIONS OF MATHEMATICS, Vol.46, (2001), No.1, pp.53-77, ISSN 0862-7940
    journal article - other

List of publications at Portal BUT

Abstracts of most important papers:

  • RUDOLFOVÁ, Z.; HODEROVÁ, J.:
    A numerical characterization of nanoparticle distribution on surface of a semiconductor,
    Mendel Journal series, pp.125-132, ISBN 1803-3814, (2017)
    journal article in Scopus

    The motivation for this work was to qualitatively describe the distribution of Au nanoparticles on the surface of a semiconductor. We discuss suitable mathematical characteristics which allow the uniform distribution to be distinguished from the distribution affected by any physical phenomenon, i.e. by the repulsive force between electrically charged particles or by the influence of properties of the surface. We identify Voronoi decomposition and a statistical analysis of Voronoi cell properties as a suitable tool for this purpose.
  • HODEROVÁ, J.:
    The numerical analysis of the elliptic problem by the semiregular finite elements, Taras Shevchenko National University of Kyiv
    abstract

    There were presented numerical results of special case of the problem. Semiregular elements are used for narrow domains where the standard triangulation could be complicated.
  • HODEROVÁ, J.:
    Maximum angle condition in the case of some nonlinear elliptic problems,
    Tavricheskiy vestnik informatiki i matematiki, Vol.2007, (2007), No.2, pp.13-23, ISSN 1729-3901
    journal article - other

    In this paper the finite element method is analyzed for nonlinear elliptic variational problem which is formally equivalent to a two-dimensional nonlinear elliptic boundary problem with mixed nonhomogeneous boundary conditions. The finite element analysis is restricted to the case of semiregular finite elements with polynomials of the first degree. At the end some numerical results are introduced.
  • HODEROVÁ, J.; HLAVIČKA, R.:
    Inovative Calculus Lectures,
    Sborník ze 16. semináře Moderní matematické metody v inženýrství, pp.86-89, ISBN 978-80-248-1649-4, (2007), VŠB - Technická univerzita
    conference paper
    akce: 16. ročník semináře Moderní matematické metody v inženýrství, Dolní Lomná u Jablunkova, 04.06.2007-06.06.2007

    For the field of study "Mathematical engineering" on FME BUT are available a lot of educational materials wchich are located on the web sites named "MATH online".
  • ŽENÍŠEK, A., HODEROVÁ, J.:
    Semiregular Hermite tetrahedral finite elements,
    Application of Mathematics, Vol.2001, (2001), No.40, pp.295-315, ISSN 0373-6725
    journal article - other

    Tetrahedral finite elements of the Hermite type satisfying the maximum angle condition are presented and the corresponding finite element interpolation theorems in the maximum norm are proved.