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math.NA2023★ 1 cited
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…
math.NA2023
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…