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20102023
most citedUniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness

35 citations · 127 across the 19 of their papers we have counts for

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math.NA2015

Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow

Xiaobing Feng, Yukun Li, Yulong Xing

This paper proposes and analyzes two fully discrete mixed interior penalty discontinuous Galerkin (DG) methods for the fourth order nonlinear Cahn-Hilliard equation. Both methods u…

math.NA2015

On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations

Yulong Xing, Chi-Wang Shu, Sebastian Noelle

This note aims at demonstrating the advantage of moving-water well-balanced schemes over still-water well-balanced schemes for the shallow water equations. We concentrate on numeri…