Doctoral Thesis
Fitted and unfitted finite element methods for solving the EEG forward problem
- Betreuer
- Doctoral Subject
- Mathematik
- Doctoral Degree
- Dr. rer. nat.
- Awarded by
- Department 10 – Mathematics and Computer Science
Honors
- Award for the best poster presentation – BACI2015, International Conference on Basic and Clinical Multimodal Imaging, Utrecht, The Netherlands, Sept. 1-5, 2015; http://www.baci-conference.com/
Project
- Efficient solvers for DG discretizations of saddle point problems ( – )
participations in other joint project: German Academic Exchange Service
- Efficient solvers for DG discretizations of saddle point problems ( – )
Publications
- . . ‘Monotonicity considerations for stabilized DG cut cell schemes for the unsteady advection equation.’ Contributed to the ENUMATH2019, Egmond aan Zee, The Netherlands.
- . . ‘Geometric Reconstruction of Implicitly Defined Surfaces and Domains with Topological Guarantees.’ ACM Transactions on Mathematical Software 44, No. 2. doi: 10.1145/3104989.
- . . ‘The Unfitted Discontinuous Galerkin Method for Solving the EEG Forward Problem.’ IEEE Trans Biomed Eng 63, No. 12: 2564–2575. doi: 10.1109/TBME.2016.2590740.
- . . ‘Algebraic multigrid for discontinuous Galerkin methods using local transformations.’ In Proceedings of the 22th Conference on Domain Decomposition Methods, 177–185.: Springer.
Dr. Andreas Nüßing
Research Areas
Numerical Methods
- (Unfitted) discontinuous Galerkin
- (Algebraic) multigrid methods
- Efficient implementations of numerical methods
Applications
- Brain research
- EEG forward problem
- Brain stimulation (TDCS)