11 citations · 31 across the 15 of their papers we have counts for
22 papers · 1 filter
An Adaptive Finite Element Method Based on Generalized Barycentric Coordinates
Yihui Zhou, Yuwen Li
This work derives a posteriori error estimate of polygonal finite element methods based on Wachspress barycentric coordinates. In particular, we prove that the classical residual-b…
Superconvergence in finite element method by smoothing
Yuwen Li, Han Shui, Ludmil Zikatanov
This paper develops a smoothing-based postprocessing method for superconvergence in finite element methods. The method applies a few smoothing iterations, such as damped Jacobi, Ga…
Some p-robust a posteriori error estimates based on auxiliary spaces
Yuwen Li
This work develops polynomial-degree-robust (p-robust) equilibrated a posteriori error estimates for , and problems, based on auxili…
Smoother-type a posteriori error estimates for finite element methods
Yuwen Li, Han Shui
This work develops user-friendly a posteriori error estimates of finite element methods, based on smoothers of linear iterative solvers. The proposed method employs simple smoother…
Some New Convergence Analysis and Applications of POD-Greedy Algorithms
Yuwen Li, Yupeng Wang
In this article, we derive a novel convergence estimate for the weak POD-Greedy method with multiple POD modes and variable greedy thresholds in terms of the entropy numbers of the…
A new rational approximation algorithm via the empirical interpolation method
Aidi Li, Yuwen Li
We present a new rational approximation algorithm based on the empirical interpolation method for interpolating a family of parametrized functions to rational polynomials with inva…