Publications Anna Hundertmark

 

PREPRINTS

  •  A. Hundertmark: On the convergence of the fixed point iterations for geometry in a fluid-structure
    interaction problem, Preprint 2016, arXiv:1608.01864 [math.AP]

SCIENTIFIC JOURNALS

  • A rescaling algorithm for the numerical solution to the porous media equation in a two-component domain (with J. Filo), accepted in Communications in Nonlinear Science and Numerical Simulation, published online 31 of March 2016, doi:10.1016/j.cnsns.2016.03.011
  •   On the existence of weak solution to the coupled  fluid-structure interaction problem for non-Newtonian shear dependent fluid (with M. Lukacova, S. Necasova), Journal of the Mathematical Society of Japan, Vol. 68, No 1, January 2016, 193-243, (accepted 2014), doi:10.2969/jmsj/06810193, preprint
  •  Kinematic splitting algorithm for fluid-structure interaction in hemodynamics (with M. Lukacova, G. Rusnakova), Computer Methods in Applied Mechanics and Engineering 265, 2013, 83-106, sciencedirect
  •  Numerical simulation of glottal flow (with R. Lehmann, M. Hess, F. Mueller), Computers in Biology and Medicine 43/12, 2013, 2177-2185, sciencedirect
  • Numerical study of shear-dependent non-Newtonian fluids in compliant vessels (with M. Lukacova), Computers and Mathematics with Applications 60, 2010,  572-590 sciencedirekt
  • Large time step finite volume evolution Galerkin methods (with M. Lukacova, F. Prill), Journal of Scientific Computing,  Volume 48 Issue 1-3, 2011, pp 227-240, springerlink, published online 2010, DOI:10.1007/s10915-010-9443-5
  • 2D Navier-Stokes Equations in a Time Dependent Domain with Neumann Type Boundary Conditions (with J. Filo), Journal of Mathematical Fluid Mechanics 10, 2010, 1 - 46 springerlink,published online 2008,
  • Numerical modelling of shear-thinning non-Newtonian flows in compliant vessels (with M. Lukacova), Int. J. Numer. Meth. Fluids, 56(8), 2008, 1409-1415 wiley_library
  • Numerical study of shear-dependent non-Newtonian fluids in compliant vessels (with M. Lukacova), Report TUHH, 2007, pdf
  • Mathematical models of flow in elastic tubes, Journal of ELECTRICAL ENGINEERING, Vol. 55, No 12/s, 2004, 32-35

BOOK CHAPTERS

  •  Recent Developments of Mathematical Fluid Mechanics On the weak solution of the fluid-structure interaction problem for shear-dependent fluid (with M.Lukacova, S. Necasova), Recent Developments of Mathematical Fluid Mechanics edited by H. Amann, Y. Giga, H.Kozono, H.Okamoto and M.Yamazaki, Series of Advanced in Mathematical Fluid Mechanics, Birkhauser Verlag, ISBN 978-3-0348-0939-9, © 2016  (accepted 2014)
  • Fluid-structure interaction for shear-dependent fluids non-Newtonian fluids, Topics in mathematical modeling and analysis,  (with M. Lukacova, G. Rusnakova), Jindrich Necas Center for Mathematical Modeling, Lecture notes, Vol. 7, Part IV,  2012, 109-158

 

THESIS

  • Habilitation thesis: Mathematical Modelling of Nonlinear Physiological Flows, Johannes-Gutenberg University Mainz, 2014
  • Dissertation thesis: 2D Navier Stokes Equations in  a Time-Dependent Domain, Comenius University, Bratislava, 2007
  • Diploma Thesis: Some One- and Multi-Step Methods for Ordinary Differential Equations, (in slovak), Comenius University, Bratislava, 2002