Brief CV: Jinchao Xu

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Accomplishments & Contributions

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