3 papers
math.NA2026
The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws
Xu-Kun Chen, Yong Liu, Chi-Wang Shu
Entropy inequalities are fundamental to the well-posedness of hyperbolic conservation laws, providing the essential criterion for selecting the physically admissible solution among…
math.NA2026
Weighted Inverse Lax-Wendroff Boundary Treatment of Discontinuous Galerkin Methods for Conservation Laws
Yongjie Bi, Yan Jiang, Yong Liu
In this paper, we propose a weighted inverse Lax-Wendroff (WILW) boundary treatment for the discontinuous Galerkin (DG) method on unfitted meshes to efficiently solve hyperbolic co…
math.NA2024
An Interior Penalty Discontinuous Galerkin Method for an Interface Model of Flow in Fractured Porous Media
Yong Liu, Ziyao Xu
Discrete fracture models with reduced-dimensional treatment of conductive and blocking fractures are widely used to simulate fluid flow in fractured porous media. Among these, nume…