## Guosheng Fu

Prager Assistant Professor of Applied Mathematics

Room 304, 170 Hope Street

401-863-1447

Guosheng_Fu@Brown.edu

Ph.D., Mathematics, University of Minnesota, 2016

### Research Interests

Numerical analysis for partial differential equations; Hybridizable discontinuous Galerkin (HDG) and hybrid-mixed finite element methods; Convection-dominated problems; Computational fluid dynamics.

### Honors

2015, SIAM Student Travel Award for SIAM Conference on Computational Science and Engineering (CSE15).

2015, Charles and Dorothy Andrew Bird Award, Sigma Xi.

2015-2016, Doctoral Dissertation Fellowship, University of Minnesota.

### Publications

1. E. Chung, B. Cockburn, and G. Fu, The staggered DG method is the limit of a hybridizable DG method. SIAM J. Numer. Anal., 52(2014), pp. 915-932.

2. E. Chung, B. Cockburn, and G. Fu, The staggered DG method is the limit of a hybridizable DG method. Part II: the Stokes system. J. Sci. Comput., 66(2016), pp. 870-887.

3. G. Fu, W. Qiu, and W. Zhang, An analysis of HDG methods for convection dominated diffusion problems. ESAIM Math. Model. Numer. Anal., 49(2015), pp. 225-256.

4. H. Chen, G. Fu, J. Li, and W. Qiu, First order least square method with weakly imposed boundary condition for convection dominated diffusion problems. Comput. Math. Appl., 68(2014), pp. 1635-1652.

5. G. Fu, B. Cockburn, and H. Stolarski, Analysis of an HDG method for linear elasticity. Internat. J. Numer. Methods Engrg., 102(2015), pp. 551-575.

6. B. Cockburn, G. Fu, and F.-J. Sayas, Superconvergence by M-decompositions. Part I: general theory for HDG methods for diffusion. Math. Comp., to appear (2016).

7. B. Cockburn and G. Fu, Superconvergence by M-decompositions. Part II: construction of two-dimensional finite elements. ESAIM Math. Model. Numer. Anal., to appear (2016).

8. B. Cockburn and G. Fu, Superconvergence by M-decompositions. Part III: construction of three-dimensional finite elements. ESAIM Math. Model. Numer. Anal., to appear (2016).

9. B. Cockburn, G. Fu, and W. Qiu, A note on the devising of superconvergent HDG methods for the Stokes flow by M-decompositions. IMA J. Numer. Anal., to appear (2016).

10. B. Cockburn and G. Fu, Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity, submitted.

11. B. Cockburn and G. Fu, A systematic construction of finite element commuting exact sequences, submitted.