5 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…
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 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…