PT-Scotch: A tool for efficient parallel graph ordering

C Chevalier, F Pellegrini - Parallel computing, 2008 - Elsevier
The parallel ordering of large graphs is a difficult problem, because on the one hand
minimum degree algorithms do not parallelize well, and on the other hand the obtainment of …

Preconditioning for sparse linear systems at the dawn of the 21st century: History, current developments, and future perspectives

M Ferronato - International Scholarly Research Notices, 2012 - Wiley Online Library
Iterative methods are currently the solvers of choice for large sparse linear systems of
equations. However, it is well known that the key factor for accelerating, or even allowing for …

Non-linear MHD simulations of edge localized modes (ELMs)

GTA Huysmans, S Pamela… - Plasma Physics and …, 2009 - iopscience.iop.org
Non-linear MHD simulations of edge localized modes (ELMs) show features in qualitative
agreement with the experimental observations such as the formation and speed of filaments …

Recent progress in the quantitative validation of JOREK simulations of ELMs in JET

SJP Pamela, GTA Huijsmans, T Eich… - Nuclear …, 2017 - iopscience.iop.org
Future devices like JT-60SA, ITER and DEMO require quantitative predictions of pedestal
density and temperature levels, as well as inter-ELM and ELM divertor heat fluxes, in order …

Taking advantage of hybrid systems for sparse direct solvers via task-based runtimes

X Lacoste, M Faverge, G Bosilca… - … Parallel & Distributed …, 2014 - ieeexplore.ieee.org
The ongoing hardware evolution exhibits an escalation in the number, as well as in the
heterogeneity, of computing resources. The pressure to maintain reasonable levels of …

[HTML][HTML] A generalised formulation of G-continuous Bezier elements applied to non-linear MHD simulations

SJP Pamela, GTA Huijsmans, M Hoelzl… - Journal of …, 2022 - Elsevier
The international tokamak ITER is progressing towards assembly completion and first-
plasma operation, which will be a physics and engineering challenge for the fusion …

A supernodal approach to incomplete LU factorization with partial pivoting

XS Li, M Shao - ACM Transactions on Mathematical Software (TOMS), 2011 - dl.acm.org
We present a new supernode-based incomplete LU factorization method to construct a
preconditioner for solving sparse linear systems with iterative methods. The new algorithm is …

A parallel direct/iterative solver based on a Schur complement approach

J Gaidamour, P Hénon - 2008 11th IEEE International …, 2008 - ieeexplore.ieee.org
In this paper, we present HIPS (Hierarchical Iterative Parallel Solver) a parallel sparse linear
solver that combines effectively direct and iterative methods through a Schur complement …

Extended full-MHD simulation of non-linear instabilities in tokamak plasmas

SJP Pamela, A Bhole, GTA Huijsmans, B Nkonga… - Physics of …, 2020 - pubs.aip.org
Non-linear magnetohydrodynamic (MHD) simulations play an essential role in active
research and understanding of tokamak plasmas for the realization of a fusion power plant …

Nonlinear MHD simulations of edge-localized-modes in JET

SJP Pamela, GTA Huysmans… - Plasma Physics and …, 2011 - iopscience.iop.org
Nonlinear magneto-hydrodynamic (MHD) simulations with the JOREK code may be used to
improve our understanding of edge-localized-modes (ELMs)(Huysmans and Czarny 2007 …