2 papers
math.NA2023
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…
math.NA2021
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…