## 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