246 citations · 723 across the 62 of their papers we have counts for
7 papers · 2 filters
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…
Filtered Hyperbolic Moment Method for the Vlasov Equation
Yana Di, Yuwei Fan, Zhenzhong Kou +2
In this paper, we investigate the effect of the filter for the hyperbolic moment equations(HME) [15] of the Vlasov-Poisson equations and propose a novel quasi time-consistent filte…
An Approximate Solver for Multi-medium Riemann Problem with Mie-Grüneisen Equations of State
Li Chen, Ruo Li, Chengbao Yao
We propose an approximate solver for multi-medium Riemann problems with materials described by a family of general Mie-Grüneisen equations of state, which are widely used in practi…
An Integrated Quadratic Reconstruction for Finite Volume Schemes to Scalar Conservation Laws in Multiple Dimensions
Li Chen, Ruo Li, Feng Yang
We proposed a piecewise quadratic reconstruction method in multiple dimensions, which is in an integrated style, for finite volume schemes to scalar conservation laws. This integra…
Resolving Knudsen Layer by High Order Moment Expansion
Yuwei Fan, Jun Li, Ruo Li +1
We model the Knudsen layer in Kramers' problem by linearized high order hyperbolic moment system. Due to the hyperbolicity, the boundary conditions of the moment system is properly…
Integrated Linear Reconstruction for Finite Volume Scheme on Arbitrary Unstructured Grids
Li Chen, Guanghui Hu, Ruo Li
In [L. Chen and R. Li, Journal of Scientific Computing, Vol. 68, pp. 1172--1197, (2016)], an integrated linear reconstruction was proposed for finite volume methods on unstructured…