19 citations · 58 across the 11 of their papers we have counts for
11 papers
Preconditioned Reconstructed Discontinuous Approximation For Elliptic Interface Problem on Unfitted Mesh
Ruo Li, Qicheng Liu, Fanyi Yang +1
In this paper, we develop an efficient preconditioned unfitted finite element method for the elliptic interface problem, based on the reconstructed discontinuous approximation. The…
An efficient particle locating method on unstructured meshes in two and three dimensions based on patch searching
Shuang Chen, Fanyi Yang
We present a particle locating method for unstructured meshes in two and three dimensions. Our algorithm is based on a patch searching process, and includes two steps. We first loc…
A Preconditioned Discontinuous Galerkin Method for Biharmonic Equation with -Reconstructed Approximation
Ruo Li, Qicheng Liu, Fanyi Yang
In this paper, we present a high-order finite element method based on a reconstructed approximation to the biharmonic equation. In our construction, the space is reconstructed from…
Superclosenes error estimates for the div least-squares finite element method on elliptic problems
Gang Chen, Fanyi Yang, Zheyuan Zhang
In this paper we provide some error estimates for the div least-squares finite element method on elliptic problems. The main contribution is presenting a complete error analysis, w…
Preconditioned NonSymmetric/Symmetric Discontinuous Galerkin Method for Elliptic Problem with Reconstructed Discontinuous Approximation
Ruo Li, Qicheng Liu, Fanyi Yang
In this paper, we propose and analyze an efficient preconditioning method for the elliptic problem based on the reconstructed discontinuous approximation method. We reconstruct a h…
An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains
Fanyi Yang, Xiaoping Xie
We propose an unfitted finite element method for numerically solving the time-harmonic Maxwell equations on a smooth domain. The model problem involves a Lagrangian multiplier to r…
An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces
Fanyi Yang, Xiaoping Xie
We propose and analyze an unfitted finite element method for solving elliptic problems on domains with curved boundaries and interfaces. The approximation space on the whole domain…
A Least Squares Method for Linear Elasticity using A Patch Reconstructed Space
Ruo Li, Fanyi Yang
We propose a discontinuous least squares finite element method for solving the linear elasticity. The approximation space is obtained by patch reconstruction with only one unknown…
A Sequential Least Squares Method for Poisson Equation using A Patch Reconstructed Space
Ruo Li, Fanyi Yang
We propose a new least squares finite element method to solve the Poisson equation. By using a piecewisely irrotational space to approximate the flux, we split the classical method…
A finite element method by patch reconstruction for the Stokes problem using mixed formulations
Ruo Li, Zhiyuan Sun, Fanyi Yang +1
In this paper, we develop a patch reconstruction finite element method for the Stokes problem. The weak formulation of the interior penalty discontinuous Galerkin is employed. The…
A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem
Ruo Li, Pingbing Ming, Zhiyuan Sun +2
We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed metho…