The JOREK non-linear extended MHD code and applications to large-scale instabilities and their control in magnetically confined fusion plasmas

M Hoelzl, GTA Huijsmans, SJP Pamela… - Nuclear …, 2021 - iopscience.iop.org
JOREK is a massively parallel fully implicit non-linear extended magneto-hydrodynamic
(MHD) code for realistic tokamak X-point plasmas. It has become a widely used versatile …

10 million unknowns: is it that big?[computational electromagnetics]

S Velamparambil, WC Chew… - IEEE Antennas and …, 2003 - ieeexplore.ieee.org
At the Center for Computational Electromagnetics at the University of Illinois, we recently
solved a very-large-scale electromagnetic scattering problem. We computed the bistatic …

Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers

V Frayssé, L Giraud, S Gratton, J Langou - ACM Transactions on …, 2005 - dl.acm.org
In this article we describe our implementations of the GMRES algorithm for both real and
complex, single and double precision arithmetics suitable for serial, shared memory and …

A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain

S Chaillat, M Bonnet, JF Semblat - Computer Methods in Applied …, 2008 - Elsevier
To reduce computational complexity and memory requirement for 3-D elastodynamics using
the boundary element method (BEM), a multi-level fast multipole BEM (FM-BEM) is …

Solving complex-valued linear systems via equivalent real formulations

D Day, MA Heroux - SIAM Journal on Scientific Computing, 2001 - SIAM
Most preconditioned iterative methods apply to both real-and complex-valued linear
systems. At the same time, most iterative linear solver packages available today focus …

Sparse pattern selection strategies for robust Frobenius‐norm minimization preconditioners in electromagnetism

B Carpentieri, IS Duff, L Giraud - Numerical linear algebra with …, 2000 - Wiley Online Library
We consider preconditioning strategies for the iterative solution of dense complex symmetric
non-Hermitian systems arising in computational electromagnetics. We consider in particular …

Methods for feature-based design of heterogeneous solids

H Liu, T Maekawa, NM Patrikalakis, EM Sachs… - Computer-Aided …, 2004 - Elsevier
This paper presents a parametric and feature-based methodology for the design of solids
with local composition control (LCC). A suite of composition design features are …

La méthode multipôle rapide en électromagnétisme. Performances, parallélisation, applications

G Sylvand - 2002 - pastel.hal.science
Parmi les différentes méthodes permettant de résoudre les équations de Maxwell
harmoniques pour les problèmes de diffraction d'onde, la méthode des éléments finis de …

Sparse symmetric preconditioners for dense linear systems in electromagnetism

B Carpentieri, IS Duff, L Giraud… - … linear algebra with …, 2004 - Wiley Online Library
We consider symmetric preconditioning strategies for the iterative solution of dense complex
symmetric non‐Hermitian systems arising in computational electromagnetics. In particular …

New single-source surface integral equations for scattering on penetrable cylinders and current flow modeling in 2-D conductors

A Menshov, V Okhmatovski - IEEE transactions on microwave …, 2012 - ieeexplore.ieee.org
The traditional volume electric field integral equation (IE) used for solution of full-wave
scattering problems on penetrable scatterers of arbitrary cross section and its magnetostatic …