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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…
Error analysis of SAV finite element method to phase field crystal model
Liupeng Wang, Yunqing Huang, Kai Jiang
In this paper, we construct and analyze an energy stable scheme by combining the latest developed scalar auxiliary variable (SAV) approach and linear finite element method (FEM) fo…
Recovery based finite element method for biharmonic equation in two dimensional
Yunqing Huang, Huayi Wei, Wei Yang +1
We design and numerically validate a recovery based linear finite element method for solving the biharmonic equation. The main idea is to replace the gradient operator on…
Superconvergence of the - divergence-free finite element
Yunqing Huang, Shangyou Zhang
By the standard theory, the stable - divergence-free element converges with the optimal order of approximation for the Stokes equations, but only…