1 citations · 2 across the 5 of their papers we have counts for
5 papers
Kernel compensation method for Maxwell eigenproblem with mimetic finite difference discretization
Chenhao Jin, Yinhua Xia, Yan Xu
We present a kernel compensation method for Maxwell eigenproblem for photonic crystals to avoid the infinite-dimensional kernels that cause many difficulties in the calculation of…
Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations
Jiahui Zhang, Yinhua Xia, Yan Xu
This paper introduces well-balanced path-conservative discontinuous Galerkin (DG) methods for two-layer shallow water equations, ensuring exactness for both still water and moving…
Equilibrium preserving space in discontinuous Galerkin methods for hyperbolic balance laws
Jiahui Zhang, Yinhua Xia, Yan Xu
In this paper, we develop a general framework for the design of the arbitrary high-order well-balanced discontinuous Galerkin (DG) method for hyperbolic balance laws, including the…
Discontinuous Galerkin method based on the reduced space for the nonlinear convection-diffusion-reaction equation
Shijin Hou, Yinhua Xia
In this paper, by introducing a reconstruction operator based on the Legendre moments, we construct a reduced discontinuous Galerkin (RDG) space that could achieve the same approxi…
Fast optimal mass transport via reduced basis methods for the Monge-Ampre equation
Shijin Hou, Yanlai Chen, Yinhua Xia
Repeatedly solving the parameterized optimal mass transport (pOMT) problem is a frequent task in applications such as image registration and adaptive grid generation. It is thus cr…