Adaptive domain decomposition multigrid for lattice QCD / von Matthias Rottmann aus Wuppertal. Wuppertal, [2016]
Content
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