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<p>In this paper, we provide a few new properties of Active Flux (AF)/Point-Average-Moment PolynomiAl-interpreted (PamPa) schemes. First, we show, in full generality, that the AF/PamPa schemes can be interpreted in such a way that the discontinuous Galerkin (dG) scheme is one of their building blocks. Secondly we provide intrinsic bound preserving properties of the current variant of PamPa. This is also illustrated numerically. Last, we show, at least in one dimension, that the PamPa scheme has the summation by part (SBP) property.</p>

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Some New Properties of an Active Flux Type Scheme: PamPa

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月1日

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  • Rémi Abgrall,
  • Yongle Liu,
  • Philipp Öffner

摘要

In this paper, we provide a few new properties of Active Flux (AF)/Point-Average-Moment PolynomiAl-interpreted (PamPa) schemes. First, we show, in full generality, that the AF/PamPa schemes can be interpreted in such a way that the discontinuous Galerkin (dG) scheme is one of their building blocks. Secondly we provide intrinsic bound preserving properties of the current variant of PamPa. This is also illustrated numerically. Last, we show, at least in one dimension, that the PamPa scheme has the summation by part (SBP) property.