@Article{CiCP-2-5, 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 = {

Parallel algebraic multigrid methods in gyrokinetic turbulence simulations are presented. Discretized equations of the elliptic operator −∇2u+αu= f (with both α=0 and α≠0) are ubiquitous in magnetically confined fusion plasma applications. When α is equal to zero a "pure" 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.

}, issn = {1991-7120}, doi = {https://doi.org/2007-CiCP-7931}, url = {https://global-sci.com/article/81343/parallel-algebraic-multigrid-methods-in-gyrokinetic-turbulence-simulations} }