About

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I am a project assistant and PhD candidate 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

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-current, 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

Contact

Email: maximilian.bernkopf@asc.tuwien.ac.at

Phone: +43 1 58801 101 68

TU Wien
Institute of Analysis and Scientific Computing (E 101)
Wiedner Hauptstraße 8-10, 1040 Vienna, Austria

Freihaus building (Wiedner Hauptstraße 8-10, 1040 Vienna)
Room: DA 04 G02 (green section, 4th floor)