3 papers
math.NA2020
How to Design A Generic Accuracy-Enhancing Filter for Discontinuous Galerkin Methods
Xiaozhou Li
Higher-order accuracy (order of in the norm) is one of the well known beneficial properties of the discontinuous Galerkin (DG) method. Furthermore, many studies have de…
math.NA2019
An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem
Yingda Cheng, Jing Huang, Xiaozhou Li +1
In this paper, we consider numerical solutions of a time domain acoustic-elastic wave interaction problem which occurs between a bounded penetrable elastic body and a compressible…
math.NA2016
An Iterative Approach for Time Integration Based on Discontinuous Galerkin Methods
Xiaozhou Li, Pietro Benedusi, Rolf Krause
We present a new class of iterative schemes for solving initial value problems (IVP) based on discontinuous Galerkin (DG) methods. Starting from the weak DG formulation of an IVP,…