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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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Showing 2020Show all

3 papers · 1 filter

math.NA2020★ 2 cited

High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations

Yupeng Ren, Yulong Xing, Jianxian Qiu

In this paper, we propose a novel Hermite weighted essentially non-oscillatory (HWENO) fast sweeping method to solve the static Hamilton-Jacobi equations efficiently. During the HW…

math.OC2020

Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach

Jolene Britton, Yat Tin Chow, Weitao Chen +1

We develop an adjoint approach for recovering the topographical function included in the source term of one-dimensional hyperbolic balance laws. We focus on a specific system, name…

math.NA2020★ 35 cited

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

Kailiang Wu, Yulong Xing

This paper presents a class of novel high-order accurate discontinuous Galerkin (DG) schemes for the compressible Euler equations under gravitational fields. A notable feature of t…