Lea Miko Versbach
PhD student, Numerical Analysis
Research
High order discretizations for uncompressible flows. Implicit Discontinuous Galerkin spectral element methods (DG-SEM). Design of new multigrid methods to improve the computational speed of DG-SEM. Space-time DG methods.
Supervised by Philipp Birken and Gregor Gassner.
Teaching assistant
- Computational Mathematics with Python NUMA01
- Numerical Linear Algebra FMNN01/NUMA11
- Numerical Methods for Differential Equations FMNN10/NUMN12
- Numerical Analysis, Basic Course NUMA41
- Analysis in Several Variables 1 MATB21
- Linear Algebra 2 MATB22
Publications
Articles in Scientific Journals
- L. Versbach, P. Birken, G. Gassner: Subcell Finite Volume Multigrid Preconditioning for High Order Discontinuous Galerkin Methods, International Journal of Computational Fluid Dynamics (2019), DOI: 10.1080/10618562.2019.1667983
Preprints
- L. Versbach, P. Birken, V. Linders, G. Gassner: Local Fourier Analysis of a Space-Time Multigrid Method for DG-SEM for the Linear Advection Equation, arXiv:2121.03115
- L. Versbach, V. Linders, R. Klöfkorn, B. Birken: Theoretical and Practical Aspects of Space-Time DG-SEM Implementations, arXiv:2201.05800
Conference proceedings
- L. Versbach, P. Birken, G. Gassner: Finite Volume based multigrid preconditioners for discontinuous Galerkin methods. PAMM 18. DOI: 10.1002/pamm.201800203
- P. Birken, G. Gassner and L. Versbach: Multigrid Preconditioners for Space-Time DG for Compressible Flows. WCCM-ECCOMAS2020. DOI: 10.23967/wccm-eccomas.2020.212
Licentiate Thesis
- The PDF of my licentiate thesis can be found here.
Dissertation Thesis
- The PDF of my dissertation thesis can be found here.
Sidansvarig: | 2022-06-08
Matematikcentrum
Sölvegatan 18
SE-22100 Lund
Room: MH 528
Phone: +46 46 2226811
Email: lea_miko.versbach@math.lu.se