## Publications

Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems. J. Sci. Comput., 94(1):article no. 27, January 2023. URL https://doi.org/10.1007/s10915-022-02076-3. . [preprint] [files]

The heterogeneous multiscale method for dispersive Maxwell systems. Multiscale Model. Simul., 20(2):769–797, June 2022. URL https://doi.org/10.1137/21M1443960. . [preprint]

Visco-acoustic full waveform inversion: From a DG forward solver to a Newton-CG inverse solver. Comput. Math. Appl., 100:126–140, October 2021. URL https://doi.org/10.1016/j.camwa.2021.09.001. . [preprint]

Parallel space-time solutions for the linear visco-acoustic and visco-elastic wave equation. In W. E. Nagel, D. H. Kröner, and M. M. Resch, editors, High Performance Computing in Science and Engineering '19, pages 589–599, May 2021. Springer, Cham. . [preprint]

The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. Comput. Math. Appl., 81:391–406, January 2021. URL https://doi.org/10.1016/j.camwa.2020.03.004. . [preprint]

Space-time discontinuous Galerkin methods for linear hyperbolic systems and the application to the forward problem in seismic imaging. In R. Klöfkorn, E. Keilegavlen, F. A. Radu, and J. Fuhrmann, editors, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020, volume 323 of

*Springer Proceedings in Mathematics & Statistics*, pages 447–485, June 2020. Springer, Cham. .A space-time discontinuous Petrov–Galerkin method for acoustic waves. In U. Langer and O. Steinbach, editors, Space-Time Methods: Applications to Partial Differential Equations, volume 25 of

*Radon Series on Computational and Applied Mathematics*, chapter 3, pages 89–116. De Gruyter, Berlin/Boston, September 2019. . [preprint]Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves. In U. Langer and O. Steinbach, editors, Space-Time Methods: Applications to Partial Differential Equations, volume 25 of

*Radon Series on Computational and Applied Mathematics*, chapter 2, pages 61–88. De Gruyter, Berlin/Boston, September 2019. . [preprint]Space-time discontinuous Petrov–Galerkin methods for linear wave equations in heterogeneous media. Comput. Methods Appl. Math., 19(3):465–481, July 2019. URL https://doi.org/10.1515/cmam-2018-0190. . [preprint]

Parallel inelastic heterogeneous multi-scale simulations. In S. Diebels and S. Rjasanow, editors, Multi-scale simulation of composite materials — Results from the project MuSiKo, pages 57–96. Springer, Berlin, February 2019. .

Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Comput. Methods Appl. Math., 16(3):409–428, July 2016. URL https://doi.org/10.1515/cmam-2016-0015. . [preprint]

## Preprints

A fully parallelized and budgeted multi-level Monte Carlo method and the application to acoustic waves. CRC 1173 Preprint 2023/18, Karlsruhe Institute of Technology, July 2023. .

A space-time Petrov–Galerkin method for linear wave equations (Lecture notes for Zurich Summer School 2016: Numerical Methods for Wave Propagation). CRC 1173 Preprint 2018/19, Karlsruhe Institute of Technology, August 2018. .

## Theses

*A fully parallelized and budgeted multi-level Monte Carlo framework for partial differential equations*. PhD thesis, Karlsruhe Institute of Technology (KIT), February 2023. .*Numerical homogenization of time-dependent Maxwell's equations with dispersion effects*. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2020. .*A parallel and adaptive space-time discontinuous Galerkin method for visco-elastic and visco-acoustic waves*. PhD thesis, Karlsruhe Institute of Technology (KIT), November 2019. .*Space-time methods for acoustic waves with applications to full waveform inversion*. PhD thesis, Karlsruhe Institute of Technology (KIT), December 2017. .*A parallel and adaptive space-time method for Maxwell's equations*. PhD thesis, Karlsruhe Institute of Technology (KIT), July 2016. .