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math.NA2024
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…
math.NA2024
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…
math.NA2024
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…