6 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 unfitted finite element method for elliptic interface problem with low regularity estimates
Fanyi Yang
In this paper, we present and analyze an unfitted finite element method for the elliptic interface problem. We consider the case that the interface is -smooth or polygonal, an…
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…
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…
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…
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…