32 citations · 66 across the 12 of their papers we have counts for
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A Discontinuous Galerkin Method for the Stokes Equation by Divergence-free Patch Reconstruction
Ruo Li, Zhiyuan Sun, Zhijian Yang
A discontinuous Galerkin method by patch reconstruction is proposed for Stokes flows. A locally divergence-free reconstruction space is employed as the approximation space, and the…
A finite element method by patch reconstruction for the Stokes problem using mixed formulations
Ruo Li, Zhiyuan Sun, Fanyi Yang +1
In this paper, we develop a patch reconstruction finite element method for the Stokes problem. The weak formulation of the interior penalty discontinuous Galerkin is employed. The…
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element
Ruo Li, Pingbing Ming, Zhiyuan Sun +1
We propose an arbitrary-order discontinuous Galerkin method for second-order elliptic problem on general polygonal mesh with only one degree of freedom per element. This is achieve…
A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem
Ruo Li, Pingbing Ming, Zhiyuan Sun +2
We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed metho…