Jinchao Xu
Professor, AMCS, KAUST Verne M. Willaman Professor, Department of Mathematics Affiliate Professsor, College of Information Sciences and Technology Director of CCMA, Pennsylvania State University Fellow of the Society for Industrial and Applied Mathematics Fellow of the American Mathematical Society Fellow of the American Association for the Advancement of Science Fellow of the European Academy of Sciences Member of the Academia Europaea Jinchao Xu is a computational scientist
known for his fundamental contributions in
developing fast algorithms for a wide range
of scientific and engineering applications,
such as multigrid and domain decomposition
methods for large-scale discretized partial
differential equation (PDE) systems.
Examples of his work include several
well-known results that bear his name,
including the Bramble-Pasciak-Xu
(BPX) preconditioner and Hiptmair-Xu
(HX) preconditioner, Xu-Zikatanov
(XZ) identity, and Morley-Wang-Xu
(MWX) element . As an illustration of
the impact of his work in engineering
applications, the
HX preconditioner he developed with
his collaborator was recognized in a 2008
report by the U.S. Department of Energy
(DOE) as one of the top 10
breakthroughs in computational science
in recent years. This solver has been in all
the main large-scale codes in US DOE labs
such as Lawrence Livermore National
Laboratory (LLNL) for quite a few years now,
and it has become the workhorse for all
simulation involving a electric-magnetic
field solver, such as in numerical solution
of magnetohydrodynamics (MHD) in fusion
energy simulations.
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