Ph.D. (Mathematics), Louisiana State University,2010
B.S. (Applied Mathematics), Dalian University of Technology, 2004
Research Interests
Numerical Analysis, Computational Mathematics, Finite Element Methods
Selected Publications
Brenner S.C., Cesmelioglu A., Cui J. and Sung L.-y., A nonconforming finite element method for incompressible fuid-structure interaction, Computational Methods in Applied Mathematics, to appear (2018).
Liu W. and Cui J., A two-grid block centered finite difference algorithm for slightly compressible Darcy-Forchheimer Model in porous media, Journal of Scientific Computing, to appear (2018).
Meng Z., Cui J. and Luo Z., A new rotated nonconforming quadrilateral element, Journal of Scientific Computing, 74(2018), 324-335.
Cui J. and Gudi T., Finite element approximation of a free boundary plasma problem, Advances in Computational Mathematics, 43(2017), 517-535.
Cui J., Multigrid methods for two-dimensional Maxwell’s equations on graded meshes, Journal of Computational and Applied Mathematics. 255(2014), 231-247.
Cui J. and Zhang W., An analysis of HDG methods for the Helmholtz equation, IMA Journal of Numerical Analysis, 34(2014), 279-295.
Cockburn B. and Cui J., Divergence-free HDG methods for the vorticity-velocity formulation of the Stokes problem, Journal of Scientific Computing, 52(2012), 256-270.
Cockburn B. and Cui J., An analysis of HDG methods for the vorticity velocity-pressure formulation of the Stokes problem in three dimensions, Mathematics of Computation, 81(2012), 1355-1368.
Brenner S.C., Cui J., Nan Z. and Sung L.-y., Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations, Mathematics of Computation, 81(2012), 643-659.
Brenner S.C., Cui J., Gudi T. and Sung L.-y., Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes, Numerische Mathematik, 119(2011), 21-47
Brenner S.C., Cui J., Li F. and Sung L.-y., A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem, Numerische Mathematik, 109(2008), 509–533.