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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.08970 |
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| _version_ | 1866918019442147328 |
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| author | Camilli, Fabio Festa, Adriano Marzufero, Luciano |
| author_facet | Camilli, Fabio Festa, Adriano Marzufero, Luciano |
| contents | The aim of this work is to investigate semi-Lagrangian approximation schemes on unstructured grids for viscous transport and conservative equations with measurable coefficients that satisfy a one-sided Lipschitz condition. To establish the convergence of the schemes, we exploit the characterization of the solution for these equations expressed in terms of measurable time-dependent viscosity solution and, respectively, duality solution. We supplement our theoretical analysis with various numerical examples to illustrate the features of the schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximation of viscous transport and conservative equations with one sided Lipschitz velocity fields Camilli, Fabio Festa, Adriano Marzufero, Luciano Numerical Analysis 35K20, 35D30, 49L25, 65M12 The aim of this work is to investigate semi-Lagrangian approximation schemes on unstructured grids for viscous transport and conservative equations with measurable coefficients that satisfy a one-sided Lipschitz condition. To establish the convergence of the schemes, we exploit the characterization of the solution for these equations expressed in terms of measurable time-dependent viscosity solution and, respectively, duality solution. We supplement our theoretical analysis with various numerical examples to illustrate the features of the schemes. |
| title | Approximation of viscous transport and conservative equations with one sided Lipschitz velocity fields |
| topic | Numerical Analysis 35K20, 35D30, 49L25, 65M12 |
| url | https://arxiv.org/abs/2505.08970 |