23 citations · 105 across the 56 of their papers we have counts for
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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.NA2013★ 3 cited
New residual-based a posteriori error estimators for lowest-order Raviart-Thomas element approximation to convection-diffusion-reaction equations
Shaohong Du, Xiaoping Xie
A new technique of residual-type a posteriori error analysis is developed for the lowest-order Raviart-Thomas mixed finite element discretizations of convection-diffusion-reaction…