On Particles and Splines in Bounded Domains
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
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| _version_ | 1866916533588983808 |
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| author | Kirchhart, Matthias |
| author_facet | Kirchhart, Matthias |
| contents | We propose numerical schemes that enable the application of particle methods for advection problems in general bounded domains. These schemes combine particle fields with Cartesian tensor product splines and a fictitious domain approach. Their implementation only requires a fitted mesh of the domain's boundary, and not the domain itself, where an unfitted Cartesian grid is used. We establish the stability and consistency of these schemes in $W^{s,p}$-norms, $s\in\mathbb{R}$, $1<p\leq\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_09595 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On Particles and Splines in Bounded Domains Kirchhart, Matthias Numerical Analysis We propose numerical schemes that enable the application of particle methods for advection problems in general bounded domains. These schemes combine particle fields with Cartesian tensor product splines and a fictitious domain approach. Their implementation only requires a fitted mesh of the domain's boundary, and not the domain itself, where an unfitted Cartesian grid is used. We establish the stability and consistency of these schemes in $W^{s,p}$-norms, $s\in\mathbb{R}$, $1<p\leq\infty$. |
| title | On Particles and Splines in Bounded Domains |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1901.09595 |