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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).