@Article{CiCP-2-881,
author = {},
title = {Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations},
journal = {Communications in Computational Physics},
year = {2007},
volume = {2},
number = {5},
pages = {881--899},
abstract = {<p style="text-align: justify;">Parallel algebraic multigrid methods in gyrokinetic turbulence simulations are presented. Discretized equations of the elliptic operator −∇<sup>2</sup>u+αu= f (with both α=0 and α≠0) are ubiquitous in magnetically confined fusion plasma applications. When α is equal to zero a &quot;pure&quot; Laplacian or Poisson equation results and when α is greater than zero a so called Helmholtz equation is produced. Taking a gyrokinetic turbulence simulation model as a testbed, we investigate the performance characteristics of basic classes of linear solvers (direct, one-level iterative, and multilevel iterative methods) on 2D unstructured finite element method (FEM) problems for both the Poisson and the Helmholtz equations.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7931.html}
}