$L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2010
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| _version_ | 1866918319785771008 |
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| author | Angermann, Lutz Henke, Christian |
| author_facet | Angermann, Lutz Henke, Christian |
| contents | We prove the $L^\infty(L^\infty)$-boundedness of a higher-order shock-capturing streamline-diffusion DG-method based on polynomials of degree $p\geq 0$ for general scalar conservation laws. The estimate is given for the case of several space dimensions and for conservation laws with initial and boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1011_2750 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | $L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions Angermann, Lutz Henke, Christian Numerical Analysis 35F31, 65M60 We prove the $L^\infty(L^\infty)$-boundedness of a higher-order shock-capturing streamline-diffusion DG-method based on polynomials of degree $p\geq 0$ for general scalar conservation laws. The estimate is given for the case of several space dimensions and for conservation laws with initial and boundary conditions. |
| title | $L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions |
| topic | Numerical Analysis 35F31, 65M60 |
| url | https://arxiv.org/abs/1011.2750 |