4 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 Solver to Helmholtz Equations by Recontruction Discontinuous Approximation
Shuhai Zhao
In this paper, an efficient solver for the Helmholtz equation using a noval approximation space is developed. The ingradients of the method include the approximation space recently…
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…
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…