1 citations · 1 across the 3 of their papers we have counts for
3 papers
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.NA2024★ 1 cited
Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation
Yaoyao Chen, Hailiang Liu, Nianyu Yi +1
In this paper, we present several unconditionally energy-stable invariant energy quadratization (IEQ) finite element methods (FEMs) with linear, first- and second-order accuracy fo…
math.NA2023
Recovery type a posteriori error estimation of an adaptive finite element method for Cahn--Hilliard equation
Yaoyao Chen, Yunqing Huang, Nianyu Yi +1
In this paper, we derive a novel recovery type a posteriori error estimation of the Crank-Nicolson finite element method for the Cahn--Hilliard equation. To achieve this, we employ…