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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2504.21835 |
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| _version_ | 1866911340236374016 |
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| author | Bänsch, Eberhard Morin, Pedro Zocola, Itatí |
| author_facet | Bänsch, Eberhard Morin, Pedro Zocola, Itatí |
| contents | A novel variant of the \emph{residual-free bubble} method (RFB) for advection dominated problems is presented. Since the usual RFB still suffers from oscillations and strong under/overshoots, the bubble space is enriched by \emph{patch bubbles}, giving more freedom to the bubble space.
We use a recursive and efficient approach to accurately compute the bubbles. Numerical experiments clearly demonstrate the superiority of our method compared to the standard RFB.
The method is similar to the \emph{enhanced residual-free bubble} method (eRFB) proposed by Cangiani and Süli in 2005, but differs in the definition of the additional bubbles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21835 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Patch bubbles for advection-dominated steady and unsteady problems Bänsch, Eberhard Morin, Pedro Zocola, Itatí Numerical Analysis 65M60 (Primary) 65N30, 65N12 (Secondary) A novel variant of the \emph{residual-free bubble} method (RFB) for advection dominated problems is presented. Since the usual RFB still suffers from oscillations and strong under/overshoots, the bubble space is enriched by \emph{patch bubbles}, giving more freedom to the bubble space. We use a recursive and efficient approach to accurately compute the bubbles. Numerical experiments clearly demonstrate the superiority of our method compared to the standard RFB. The method is similar to the \emph{enhanced residual-free bubble} method (eRFB) proposed by Cangiani and Süli in 2005, but differs in the definition of the additional bubbles. |
| title | Patch bubbles for advection-dominated steady and unsteady problems |
| topic | Numerical Analysis 65M60 (Primary) 65N30, 65N12 (Secondary) |
| url | https://arxiv.org/abs/2504.21835 |