@Article{CiCP-18-1336,
author = {Laurette S. Tuckerman},
title = {Laplacian Preconditioning for the Inverse Arnoldi Method},
journal = {Communications in Computational Physics},
year = {2018},
volume = {18},
number = {5},
pages = {1336--1351},
abstract = {<p style="text-align: justify;">Many physical processes are described by elliptic or parabolic partial differential
equations. For linear stability problems associated with such equations, the
inverse Laplacian provides a very effective preconditioner. In addition, it is also readily
available in most scientific calculations in the form of a Poisson solver or an implicit
diffusive time step. We incorporate Laplacian preconditioning into the inverse Arnoldi
method, using BiCGSTAB to solve the large linear systems. Two successful implementations
are described: spherical Couette flow described by the Navier-Stokes equations
and Bose-Einstein condensation described by the nonlinear Schrödinger equation.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.281114.290615a},
url = {http://global-sci.org/intro/article_detail/cicp/11071.html}
}