Current Research Areas

• High Order hp-Finite Element Method
• Computational Electromagnetics
• Computational Beam Dynamics
• Computational Fluid Dynamics, etc
• Parallel Algorithms
• Large Scale Scientific Computing

Selected Recent Presentations

• J. Xu, etc, Advanced Software Packages for Beam Dynamics Simulation, Poster at SciDAC, Chattanooga, Tennessee, Jul.11-15, 2010.
• J. Xu, etc, Developing Peta-scalable Algorithms for Beam Dynamic Simulations, Invited talk at the 1st International Particle Accelerator Conference, Kyoto, Japan, May.23-28, 2010.
• J. Xu, etc, Highly Scalable 2P2V Vlasov Solver with Discontinuous Galerkin Method on Unstructured Mesh, Poster at SC09, Portland, Oregon, Nov.14-20, 2009.
• J. Xu, etc, Highly Scalable Numerical Methods for Simulation of Space Charge Dominated Beams, Inivted talk at the 10th International Computational Accelerator Physics Conference at San Francisco, CA, Aug.30-Sep.4,2009.
• J. Xu, etc, Highly Scalable Parallel Algorithm for 2D2V Vlasov Equation with High Order Spectral Element Method., Poster at SC08, Austin, Texas, Nov.15-20, 2008.

Selected Recent Publications

• J. Xu, etc, Scalable Direct Vlasov Solver with Discontinuous Galerkin Method on Unstructured Mesh, SIAM Journal on Scientific Computing, Vol. 32, No.6, 3476-3494, 2010.
• J. Xu, etc, Direct Vlasov Solvers with High-Order Spectral Element Method, Communication in Computational Physics, 8, pp. 159-184, 2010.
• J. Xu, etc, Parallel 3D Poisson Solver for Space Charge Calculation in Cylinder Coordinate System, Computer Physics Communications, 178, pp. 290-300, 2008.
• J. Xu, Benchmarks on Tera-scalable Models for DNS of Channel Turbulent Flow, Parallel Computing. Vol. 33/12, 780-794, 2007.
• J. Xu, etc, Parallelization of a Beam Dynamics Code and First Large Scale Radio Frequency Quadrupole Simulations, Physics Review Special Topic-Accelerator and Beams 10, 014201, 2007.