Algebraic Multigrid Solvers for Coupled PDE Systems (Final Report – B619169)
- Pennsylvania State Univ., University Park, PA (United States)
The Pennsylvania State University (“Subcontractor”) worked on the design of multigrid solvers for coupled systems of partial differential equations arising in numerical modeling of various applications, with a main emphasis on the design of new optimal algebraic multigrid interpolation. Generally, the aim of this work was to develop geometric and algebraic multilevel solvers that are robust and lend themselves to efficient implementation on massively parallel heterogeneous computers. The research in these areas built on previous works, focusing on the following topics: (1) design and analysis of algebraic coarsening algorithms for coupled PDE systems including Stokes equation, Maxwell equation and linear elasticity; (2) development of non-Galerkin coarsening techniques for the Wilson Dirac system; and (3) the use of this same Wilson MG solver for preconditioning the Overlap and Domain Wall formulations of the Dirac equation.
- Research Organization:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- DOE Contract Number:
- AC52-07NA27344
- OSTI ID:
- 1840122
- Report Number(s):
- LLNL-SR-739681; 893314
- Country of Publication:
- United States
- Language:
- English
Similar Records
Block smoothers and generalized ideal interpolation in AMG (Final Report)
Subcontract B629176: Algebraic Multigrid with Optimal Interpolation (Final Report)