output
20112026
most citedSlim-neck by GSConv: A lightweight-design for real-time detector architectures

628 citations

Showing math.NAShow all

5 papers · 1 filter

math.NA2016★ 6 cited

Robust residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems

Shaohong Du, Runchang Lin, Zhimin Zhang

We consider mixed finite element approximation of a singularly perturbed fourth-order elliptic problem with two different boundary conditions, and present a new measure of the erro…

math.NA2016

Robust recovery-type a posteriori error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems

Shaohong Du, Runchang Lin, Zhimin Zhang

In this paper, we investigate adaptive streamline upwind/Petrov Galerkin (SUPG) methods for singularly perturbed convection-diffusion-reaction equations in a new dual norm presente…

math.NA2013★ 9 cited

Convergence of adaptive mixed finite element method for convection-diffusion-reaction equations

Shaohong Du, Xiaoping Xie

We prove the convergence of an adaptive mixed finite element method (AMFEM) for (nonsymmetric) convection-diffusion-reaction equations. The convergence result holds from the cases…

math.NA2013

Residual-based a posteriori error estimation for multipoint flux mixed finite element methods

Shaohong Du, Shuyu Sun, Xiaoping Xie

A novel residual-type {\it a posteriori} error analysis technique is developed for multipoint flux mixed finite element methods for flow in porous media in two or three space dimen…

math.NA2011

Quasi-optimal convergence rate for adaptive mixed finite element methods

Shaohong Du, Xiaoping Xie

For adaptive mixed finite element methods (AMFEM), we first introduce the data oscillation to analyze, without the restriction that the inverse of the coefficient matrix of the par…