3 papers
math.NA2025
Enhanced gradient recovery-based a posteriori error estimator and adaptive finite element method for elliptic equations
Ying Liu, Jingjing Xiao, Nianyu Yi +1
Recovery type a posteriori error estimators are popular, particularly in the engineering community, for their computationally inexpensive, easy to implement, and generally asymptot…
math.NA2024
A posteriori error estimators for fourth order elliptic problems with concentrated loads
Huihui Cao, Yunqing Huang, Nianyu Yi +1
In this paper, we study two residual-based a posteriori error estimators for the interior penalty method in solving the biharmonic equation in a polygonal domain under a conc…
math.NA2021
An adaptive finite element method for two-dimensional elliptic equations with line Dirac sources
Huihui Cao, Hengguang Li, Nianyu Yi +1
In this paper, we propose a novel adaptive finite element method for an elliptic equation with line Dirac delta functions as a source term. We first study the well-posedness and gl…