23 citations · 105 across the 56 of their papers we have counts for
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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…
math.NA2011
Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems
Li Wang, Xiaoping Xie
This paper analyzes rectangular finite element methods for fourth order elliptic singular perturbation problems. We show that the non- rectangular Morley element is uniformly…
math.NA2011★ 23 cited
Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods
Guozhu Yu, Xiaoping Xie, Carsten Carstensen
Assumed stress hybrid methods are known to improve the performance of standard displacement-based finite elements and are widely used in computational mechanics. The methods are ba…