About Me
I am a PostDoc at the Radon institute for computational and applied mathematics (RICAM) in Linz, Austria.
I received my PhD in applied mathematics from TU Darmstadt on “Finite element mass lumping for H(div) and H(curl)” under the supervision of Prof. Dr. Herbert Egger.
Research Interest
I am an expert in finite element methods with mass lumping, where one seeks to replace the mass matrix $M$ by a suitable (block)diagonal approximation $M_h$ in the context of wave propagation problems. More current work includes the simulation of electromagnetic phenomena.
Preprints
- H.Egger, F.Engertsberger, B.Radu : An efficient mixed finite element method for nonlinear magnetostatics and quasistatics, arXiv:2311.14019 (2024)
- H.Egger, F.Engertsberger, B.Radu : A reduced scalar potential approach for magnetostatics avoiding the coenergy, arXiv:2405.01082 (2024)
- H.Egger, F.Engertsberger, B.Radu : Global convergence of iterative solvers for problems of nonlinear magnetostatics, arXiv:2403.18520 (2024)
Publications
In reverse chronological order:
- H.Egger, B.Radu : A Yee-Like Finite Element Scheme for Maxwell’s Equations on Hybrid Grids with Mass-Lumping, Scientific Computing in Electrical Engineering (2024)
- H.Egger, B.Radu : A Yee-like finite-element scheme for Maxwell’s equations on unstructured grids, IMA J. Num. Anal. (2024)
- H.Egger, B.Radu : A second-order finite element method with mass lumping for Maxwell’s equations on tetrahedra. SIAM J. Numer. Anal., 59(2):864–885, (2021)
- H.Egger, B.Radu : A second order finite element method with mass lumping for wave equations in H(div). In Numerical mathematics and advanced applications, volume 139 of Lect. Notes Comput. Sci. Eng., pages 793–801. Springer, Cham, (2021)
- H.Egger, B.Radu : A mass-lumped mixed finite element method for Maxwell’s equations. In Scientific computing in electrical engineering, volume 32 of Math. Ind., pages 15–24. Springer, Cham, (2020)
- H.Egger, B.Radu : On a second-order multipoint flux mixed finite element methods on hybrid meshes. SIAM J. Numer. Anal., 58(3):1822–1844, (2020)
- H.Egger, B.Radu : A mass-lumped mixed finite element method for acoustic wave propagation. Numer. Math. 145, 239–269 (2020).
- H.Egger, B.Radu, Comparison of the hybrid and multipoint-flux method. Proc. Appl. Math. Mech., 19: e201900280 (2019)
- H.Egger, B.Radu, A mass‐lumped mixed FEM for acoustic wave propagation with inhomogeneous coefficients. PAMM, 10.1002/pamm.201800325, 18, 1, (2018).
- H.Egger, B.Radu : Super-convergence and post-processing for mixed finite element approximations of the wave equation. Numer. Math., 140(2):427–447, Oct (2018)
Conference talks
In reverse chronological order:
- SCEE 2024, Darmstadt - A scalar potential approach for magnetostatics avoiding the coenergy [Link]
- ECMI 2023, Wroclaw; CMAPT 2023, Sozopol - A mixed finite element method for nonlinear magnetostatics [Link]
- RICAM Group seminar 2023, Linz - A finite element time domain method for Maxwell’s equations [Link]
- SCEE 2022, Amsterdam; DD27 2022, Prague - A second order finite element method with mass lumping for Maxwell’s equations on tetrahedra [Link]
- CMAPT 2022, Strobl - Mass lumping and quadrature formulas [Link]
- Ricam Group seminar 2021, Linz; DMV-ÖMV 2021, Passau - A second order multipoint flux mixed finite element method on hybrid meshes [Link]
- ENUMATH 2019, Egmond aan Zee - Mass-lumped finite element method for Maxwell’s equations [Link]
- GAMM 2019, München; AANMPDE 2019, Strobl - A second order multipoint flux mixed finite element method on hybrid meshes [Link]
- HYP 2019, PennState - A mixed finite element method with mass lumping for wave propagation [Link]
- Darmstadt Group seminar, 2018 - Mass-lumped mixed finite element methods for Maxwell’s equations [Link]
- Darmstadt Group seminar, 2017 - A mixed finite element method with mass lumping for wave propagation [Link]
- AANMPDE 2016, Strobl - Superconvergence and postprocessing for mixed finite element approximations of the wave equation [Link]
Teaching as an assistent
| Year | Course | Location |
|---|---|---|
| 2023 | Math 3 for Mechanical Engineers | JKU Linz |
| 2022 | Math 3 for Mechanical Engineers | JKU Linz |
| 2021 | Statistics 1 for Economics | TU Darmstadt |
| 2021 | Math 1 for Electrical Engineers | TU Darmstadt |
| 2019,2020 | Numerical methods for ODEs | TU Darmstadt |
| 2018 | Introduction to Numerical Analysis | TU Darmstadt |
| 2017,2019,2020,2021 | Elementary PDEs: Classical Methods | TU Darmstadt |