Automated local Fourier analysis (aLFA) and geometric multigrid for graphene / eingereicht von Nils Kintscher. Wuppertal, 29. Juli 2019
Content
- Introduction
- Normal forms of integer matrices
- Crystalline structures
- Operators on lattices and crystals
- Linear iterative methods
- Convergence theory
- Splitting methods
- Multigrid methods
- Symmetries in colored smoothers
- Smoothing analysis
- Graphene
- Crystal structure of graphene
- Tight-binding Hamiltonian
- Components of the geometric multigrid method
- Analysis of the coarse grid correction
- Convergence rates of the multigrid method
- Conclusion
- Algorithms
- Nomenclature