Research Interests

Iterative methods for linear systems;
Finite element methods for PDEs;
Domain decomposition; Multigrid methods.

Publications

Shape regularity conditions for polygonal/polyhedral meshes, exemplified in a discontinuous Galerkin discretization by L. Mu, X. Wang and Y. Wang, Numer. Meth. Part. Diff. Eq. (2014), DOI: 10.1002/num.21905
A posteriori error estimate for the H(div) conforming mixed finite element for the coupled Darcy-Stokes system, by W. Chen and Y. Wang, J. Comput. Appl. Math., 255 (2014), pp. 502-516.
Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes, by L. Mu, J. Wang, Y. Wang and X. Ye, J. Comput. Appl. Math., 255 (2014), pp. 432-440.
A weak Galerkin finite element method for biharmonic equations, by L. Mu, J. Wang, Y. Wang and X. Ye, Conference Proceeding for Numerical Solution of Partial Differential Equations: Theory, Algorithms and their Applications, Vol. 45 (2013), pp. 247-277.
A unified a posteriori error estimator for finite volume methods for the Stokes equations. by J. Wang, Y. Wang and X. Ye, Math. Meth. Appl. Sci., DOI: 10.1002/mma.2871. Link to the journal version
Unified a posteriori error estimator for finite element methods for the Stokes equations. by J. Wang, Y. Wang and X. Ye, Int. J. Numer. Anal. Model., 10 (2013), pp. 551-570.
A computational study of the weak Galerkin method for second order elliptic equations. by L. Mu, J. Wang, Y. Wang and X. Ye, Numer. Algor., 63 (2013), pp. 753-777. Link to the journal version
A mixed finite element method for thin film epitaxy. by W. Chen and Y. Wang, Numer. Math., 122 (2012), pp. 771-793. Link to the journal version
A posteriori error estimate for stabilized finite element methods for the Stokes equations. by J. Wang, Y. Wang and X. Ye, Int. J. Numer. Anal. Model., 9 (2012), pp. 1-16. Link to the journal version
A posteriori error estimation for an interior penalty type method employing H(div) Elements for the Stokes equations. by J. Wang, Y. Wang and X. Ye, SIAM J. Sci. Comp., 33(131-152), 2011. Link to the Journal version.
A new finite volume method for the Stokes problems. by J. Wang, Y. Wang and X. Ye, IJNAM., 7 (281-302), 2010. Link to the Journal version.
Pseudostress-velocity formulation for incompressible Navier-Stokes equations. by Z. Cai and Y. Wang, Int. J. Numer. Meth. Fluids. 63 (341-356), 2010. Link to the Journal version.
A Robust numerical method for Stokes equations based on divergence-free H(div) finite element methods. by J. Wang, Y. Wang and X. Ye, SIAM J. Sci. Comp., 31 (2784-2802), 2009. Link to the Journal version.
An error estimate for two-dimensional Stokes driven cavity flow. by Z. Cai and Y. Wang, Math. Comp. 78 (771-787), 2009. Link to the Journal version.
A multigrid method for the pseudostress formulation of Stokes problems by Z. Cai and Y. Wang, SIAM J. Sci. Comp, 29 (2078-2095), 2007. Link to the Journal version.
A multigrid preconditioner for the mixed formulation of linear plane elasticity by J.E. Pasciak and Y. Wang, SIAM J. Numer. Anal., 44(478-493), 2006. Link to the Journal version.
Overlapping Schwarz preconditioner for the mixed formulation of plane elascticity Appl. Numer. Math. 54(292-309), 2005. Link to the Journal version.
Preconditioning for the mixed formulation of linear plane elasticity Dissertation, 2004.
Cascadic multigrid methods for motar Wilson finite element methods on planar linear elasticity. by W. Chen and Y.Wang, Numer. Math. J. Chinese Univ., 12(1-15), 2003.
Numerical Analysis of nonstationary convection-dominated convection-diffusion problems (In Chinese). by H. Cai, L. Wang and Y. Wang, J. Fudan Univ. Nat. Sci., 39(344-350), 2000.