3 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
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…
A semi-implicit dynamical low-rank discontinuous Galerkin method for space homogeneous kinetic equations. Part I: emission and absorption
Peimeng Yin, Eirik Endeve, Cory D. Hauck +1
Dynamical low-rank approximation (DLRA) is an emerging tool for reducing computational costs and provides memory savings when solving high-dimensional problems. In this work, we pr…
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…
A finite element method for the biharmonic problem with Dirichlet boundary conditions in a polygonal domain
Hengguang Li, Charuka D. Wickramasinghe, Peimeng Yin
In this paper, we study the biharmonic equation with Dirichlet boundary conditions in a polygonal domain. In particular, we propose a method that effectively decouples the fourth-o…