About
I finished my PhD under the supervision of Jens Markus Melenk in the doctoral program Dissipation and Dispersion in Nonlinear PDEs funded by the FWF at TU Wien.
Research Interest
My research interest is concerned with numerical discretizations of time-harmonic wave propagation problems as well as least squares finite element methods.
Besides that and due to my financial mathematics background I am interested in the connection to stochastics. Further interests of mine are the broad field of data science and machine learning. I gained my initial data science experience working at start-ups in Vienna.
Short Curriculum Vitae
- 2017-2021, PhD in Computational Mathematics, TU Wien
- 2016-2017, Data Scientist, Mantigma / IntraBase, Vienna
- 2015-2016, MSc in Financial and Actuarial Mathematics, TU Wien
- 2011-2015, BSc in Financial and Actuarial Mathematics, TU Wien
You can download the longer version here.
Publications
[5]
Wavenumber-explicit stability and convergence analysis of hp Finite Element discretizations of Helmholtz problems in piecewise smooth media,
M. Bernkopf, T. Chaumont-Frelet, J.M. Melenk,
in preparation, 2021
[4]
Optimal convergence rates in L^2 for a first order system least squares finite element method. Part II: inhomogeneous boundary conditions,
M. Bernkopf and J.M. Melenk,
in preparation, 2021
[3]
Solvability of Discrete Helmholtz Equations,
M. Bernkopf, S. Sauter, C. Torres, A. Veit,
submitted, arXiv, 2021
[2]
Optimal convergence rates in L^2 for a first order system least squares finite element method. Part I: homogeneous boundary conditions,
M. Bernkopf and J.M. Melenk,
submitted, arXiv, 2020
[1]
Analysis of the hp-version of a first order system least squares method for the Helmholtz equation,
M. Bernkopf and J.M. Melenk, Advanced Finite Element Methods with Applications:
Selected Papers from the 30th Chemnitz Finite Element Symposium 2017.
Ed. by Thomas Apel et al. Cham: Springer International Publishing,
pp. 57–84,
arXiv, 2019
Research Stays
09/2020-12/2020, Université Polytechnique Hauts-de-France, Valenciennes, France,
working with Serge Nicaise
09/2019-12/2019, Universität Zürich, Zürich, Switzerland,
working with Stefan Sauter
Teaching
03/2021-07/2021, Tutor, Analysis 1, TU Wien
03/2019-07/2019, Seminar Instructor, Seminar on inverse problems, Flyer, TU Wien
10/2018-02/2019, Seminar Instructor, Seminar on uncertainty quantification and approximation theory of neural networks, Flyer, TU Wien
10/2017-02/2019, Tutor, Analysis 1 - 3, TU Wien
03/2016-07/2016, Tutor, Computer Mathematics, TU Wien
03/2015-07/2015, Tutor, Computer Mathematics, TU Wien