RNDr. Petra Pustejovska, Ph. D.

Name : Petra Pustejovska

Teaching

• SS2016 Numerik gewöhnlicher Differentialgleichungen [MA2304] (Übung)
• WS2015/16 Einführung in die numerische lineare Algebra [MA 1304] (Übung)
• SS2015 Praktikum zu Numerische Mathematik [MA9410] (Praktikum)
• WS2014/15 Maß- und Integrationstheorie [MA2003] (Übung)

Research interests/projects

• Energy-corrected FEM
• Two phase flow, membrane transport
• Fluid dynamics
• Mathematical modeling of non-Newtonian, chemically reacting fluids
• Blood flow modeling

Publications

Submitted:

• L. John, P. Pustejovska, O. Steinbach: On hemodynamic indicators related to aneurysm blood flow. (preprint 0613) 

Published

• L. John, P. Pustejovska, U. Rüde, B. Wohlmuth. Energy-Corrected Finite Element Methods for the Stokes system. IMA J Numer Anal, 2016 IMANUM 
• M. Huber, L. John, P. Pustejovska, U. Rüde, C. Waluga, B. Wohlmuth: Solution techniques for the Stokes system: a priori and a posteriori modifications, resilient algorithms. Proceedings of the 8th International Congress on Industrial and Applied Mathematics, 109–134, Higher Ed. Press, Beijing, 2015.
• M. Bulicek, P. Pustejovska: Existence analysis for a model describing flow of an incompressible chemically reacting non-Newtonian fluid, SIAM J. Math. Anal., 46(5), 3223–3240, 2014. SIAM 
• M. Bulicek and P. Pustejovska: On existence analysis of steady flows of generalized Newtonian fluids with concentration dependent power-law index, Journal of Mathematical Analysis and Applications, 402(1):157-166, 2013. ScienceDirect 
• J. Hron, M. Neuss-Radu and P. Pustejovska: Mathematical modeling and simulation of flow in domains separated by leaky semipermeable membrane including osmotic effect, Applications of Mathematics, 56(1):51–68, 2011. Springerlink 
• J. Hron, J. Malek, P. Pustejovska and K. R. Rajagopal: On the modeling of the synovial fluid, Advances in Tribology, vol. 2010, 2010. Hindawilink 

Technical report

• J. Hron, P. Pustejovska: Comparison of stabilized finite element methods for simulation of flow of diluted polymeric liquids. NCMM 

Doctoral Thesis, Extended Abstract of Doctoral Thesis

• P. Pustejovska: Biochemical and mechanical processes in synovial fluid – modeling, analysis and computational simulations. Defended: March 23rd, 2012. pdf file
• P. Pustejovska: Abstract of doctoral thesis. pdf file