most citedEquilibrium preserving space in discontinuous Galerkin methods for hyperbolic balance laws

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math.NA2025

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for shallow water linearized moment equations

Ruilin Fan, Julian Koellermeier, Yinhua Xia +2

This paper presents high-order, well-balanced, path-conservative discontinuous Galerkin (DG) methods for the shallow water linearized moment equations (SWLME), designed to preserve…

math.NA2024

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…

math.NA2024★ 1 cited

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…