Dr. Daniel Seibel
Building E1 1, Room 3.29
Department of Mathematics
Saarland University
PO 15 11 50
D-66041 Saarbrücken
tel:+49 681 302 4898
seibel@num.uni-sb.de
Research Interests
- Fast algorithms for boundary element methods
- Energy minimization methods in quantum mechanics
- Finite element methods on polygonal meshes
Publications
- D. Seibel: Almost Complete Analytical Integration in Galerkin Boundary Element Methods. SIAM J. Sci. Comput. (2023). https://epubs.siam.org/doi/10.1137/22M1534857
- D. Seibel: Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation. Numer. Math. (2022). https://doi.org/10.1007/s00211-021-01259-8
- D. Seibel, S. Weißer: Recovery-based error estimators for the VEM and BEM-based FEM. Comput. Math. Appl. (2020). https://doi.org/10.1016/j.camwa.2020.09.004
- D. Seibel, S. Weißer: Gradient Recovery for the BEM-based FEM and VEM. PAMM 19 (2019). https://doi.org/10.1002/pamm.201900092. Invited to the Minisymposium entitled Recent advances in Galerkin methods based on polytopal meshes, 90th Annual Meeting of GAMM, February 18 -- 22, 2019, Vienna, Austria
Theses
- Fast boundary elements methods for the simulation of wave phenomena. Dissertation (2023). https://dx.doi.org/10.22028/D291-40698
- The virtual element method for elliptic partial differential equations on polygonal and polyhedral meshes. Master's thesis in mathematics (2018).
- Numerical solution of the general diffusion equation based on boundary element methods and Chebyshev approximation. Bachelor's thesis in mathematics (2017).