83 citations · 224 across the 37 of their papers we have counts for
Showing 2022 · math.NAShow all
2 papers · 2 filters
math.NA2022★ 18 cited
Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws
Dmitri Kuzmin, Joshua Vedral
We present a new perspective on the use of weighted essentially nonoscillatory (WENO) reconstructions in high-order methods for scalar hyperbolic conservation laws. The main focus…
math.NA2022★ 5 cited
Bound-preserving and entropy-stable algebraic flux correction schemes for the shallow water equations with topography
Hennes Hajduk, Dmitri Kuzmin
A well-designed numerical method for the shallow water equations (SWE) should ensure well-balancedness, nonnegativity of water heights, and entropy stability. For a continuous fini…