Some new properties of an Active flux type scheme: PamPa
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915974642401280 |
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| author | Abgrall, Rémi Öffner, Philipp Liu, Yongle |
| author_facet | Abgrall, Rémi Öffner, Philipp Liu, Yongle |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17147 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some new properties of an Active flux type scheme: PamPa Abgrall, Rémi Öffner, Philipp Liu, Yongle Numerical Analysis 76M10, 76M12, 65M08, 35L40 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. |
| title | Some new properties of an Active flux type scheme: PamPa |
| topic | Numerical Analysis 76M10, 76M12, 65M08, 35L40 |
| url | https://arxiv.org/abs/2508.17147 |