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Title: Final Report: Subcontract B623868 Algebraic Multigrid solvers for coupled PDE systems

Abstract

The Pennsylvania State University (“Subcontractor”) continued to work on the design of algebraic multigrid solvers for coupled systems of partial differential equations (PDEs) arising in numerical modeling of various applications, with a main focus on solving the Dirac equation arising in Quantum Chromodynamics (QCD). The goal of the proposed work was to develop combined geometric and algebraic multilevel solvers that are robust and lend themselves to efficient implementation on massively parallel heterogeneous computers for these QCD systems. The research in these areas built on previous works, focusing on the following three topics: (1) the development of parallel full-multigrid (PFMG) and non-Galerkin coarsening techniques in this frame work for solving the Wilson Dirac system; (2) the use of these same Wilson MG solvers for preconditioning the Overlap and Domain Wall formulations of the Dirac equation; and (3) the design and analysis of algebraic coarsening algorithms for coupled PDE systems including Stokes equation, Maxwell equation and linear elasticity.

Authors:
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1406429
Report Number(s):
LLNL-SR-740381
DOE Contract Number:  
AC52-07NA27344
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Brannick, J. Final Report: Subcontract B623868 Algebraic Multigrid solvers for coupled PDE systems. United States: N. p., 2017. Web. doi:10.2172/1406429.
Brannick, J. Final Report: Subcontract B623868 Algebraic Multigrid solvers for coupled PDE systems. United States. doi:10.2172/1406429.
Brannick, J. Tue . "Final Report: Subcontract B623868 Algebraic Multigrid solvers for coupled PDE systems". United States. doi:10.2172/1406429. https://www.osti.gov/servlets/purl/1406429.
@article{osti_1406429,
title = {Final Report: Subcontract B623868 Algebraic Multigrid solvers for coupled PDE systems},
author = {Brannick, J.},
abstractNote = {The Pennsylvania State University (“Subcontractor”) continued to work on the design of algebraic multigrid solvers for coupled systems of partial differential equations (PDEs) arising in numerical modeling of various applications, with a main focus on solving the Dirac equation arising in Quantum Chromodynamics (QCD). The goal of the proposed work was to develop combined geometric and algebraic multilevel solvers that are robust and lend themselves to efficient implementation on massively parallel heterogeneous computers for these QCD systems. The research in these areas built on previous works, focusing on the following three topics: (1) the development of parallel full-multigrid (PFMG) and non-Galerkin coarsening techniques in this frame work for solving the Wilson Dirac system; (2) the use of these same Wilson MG solvers for preconditioning the Overlap and Domain Wall formulations of the Dirac equation; and (3) the design and analysis of algebraic coarsening algorithms for coupled PDE systems including Stokes equation, Maxwell equation and linear elasticity.},
doi = {10.2172/1406429},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Oct 17 00:00:00 EDT 2017},
month = {Tue Oct 17 00:00:00 EDT 2017}
}

Technical Report:

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