65 citations · 140 across the 37 of their papers we have counts for
4 papers · 2 filters
A superconvergent HDG method for the Incompressible Navier-Stokes Equations on general polyhedral meshes
Weifeng Qiu, Ke Shi
We present a superconvergent hybridizable discontinuous Galerkin (HDG) method for the steady-state incompressible Navier-Stokes equations on general polyhedral meshes. For arbitrar…
An absolutely stable -HDG method for the time-harmonic Maxwell equations with high wave number
Peipei Lu, Huangxin Chen, Weifeng Qiu
We present and analyze a hybridizable discontinuous Galerkin (HDG) method for the time-harmonic Maxwell equations. The divergence-free condition is enforced on the electric field,…
Direct computation of stresses in linear elasticity
Weifeng Qiu, Minglei Wang, Jiahao Zhang
We present a new finite element method based on the formulation introduced by Philippe G.~Ciarlet and Patrick Ciarlet, Jr. in [{\em Math. Models Methods Appl. Sci., 15 (2005), pp.…
A high order HDG method for curved-interface problems via approximations from straight triangulations
Weifeng Qiu, Manuel Solano, Patrick Vega
We generalize the technique of [Solving Dirichlet boundary-value problems on curved domains by extensions from subdomains, SIAM J. Sci. Comput. 34, pp. A497--A519 (2012)] to ellipt…