1 citations · 1 across the 7 of their papers we have counts for
7 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…
A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations
Ruo Li, Qicheng Liu, Shuhai Zhao
We develop a high order reconstructed discontinuous approximation (RDA) method for solving a mixed formulation of the quad-curl problem in two and three dimensions. This mixed form…
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…
An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem
Ruo Li, Qicheng Liu, Shuhai Zhao
We present an arbitrary order discontinuous Galerkin finite element method for solving the fourth-order curl problem using a reconstructed discontinuous approximation method. It is…
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 arbitrary order Reconstructed Discontinuous Approximation to Biharmonic Interface Problem
Yan Chen, Ruo Li, Qicheng Liu
We present an arbitrary order discontinuous Galerkin finite element method for solving the biharmonic interface problem on the unfitted mesh. The approximation space is constructed…
A discontinuous least squares finite element method for Helmholtz equations
Ruo Li, Qicheng Liu, Fanyi Yang
We propose a discontinuous least squares finite element method for solving the Helmholtz equation. The method is based on the L2 norm least squares functional with the weak imposit…