Adaptive domain decomposition multigrid for lattice QCD / von Matthias Rottmann aus Wuppertal. Wuppertal, [2016]
Inhalt
- Introduction
- Quantum Chromodynamics
- Domain Decomposition Methods
- Additive and Multiplicative Schwarz
- Red-Black Multiplicative Schwarz
- Sixteen Color Multiplicative Schwarz
- Implementation Details – The Wilson-Dirac Operator
- Implementation Details – Schwarz Methods
- Numerical Results
- Algebraic Multigrid
- Aggregation-based Intergrid Transfer Operators
- Petrov-Galerkin Approach in Lattice QCD
- Adaptive Test Vector Computation
- Implementation Details
- Inexact Deflation
- Deflation Subspace
- Comparison of Multigrid and Inexact Deflation
- Adaptivity in the Setup of Inexact Deflation
- GMRES-smoothed AMG
- Two-Level DD-AMG
- Multilevel DD-AMG
- Multilevel Cycling Strategies
- Adaptive Multilevel Setup Procedure
- Implementation Details – Idling Processes
- Numerical Multilevel Results
- Preconditioning the Overlap Dirac Operator
- List of Algorithms
- List of Figures
- List of Tables
- Bibliography