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.

Examples of Research Impact

His algorithm HX-preconditioner was featured in a 2008
report by the U.S. Department of Energy as one of the top 10
breakthroughs in computational science