Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866929640870772736 |
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| author | Luo, Hao Li, Binjie Xie, Xiaoping |
| author_facet | Luo, Hao Li, Binjie Xie, Xiaoping |
| contents | This paper analyzes the convergence of a Petrov-Galerkin method for time fractional wave problems with nonsmooth data. Well-posedness and regularity of the weak solution to the time fractional wave problem are firstly established. Then an optimal convergence analysis with nonsmooth data is derived. Moreover, several numerical experiments are presented to validate the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_02799 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data Luo, Hao Li, Binjie Xie, Xiaoping Numerical Analysis This paper analyzes the convergence of a Petrov-Galerkin method for time fractional wave problems with nonsmooth data. Well-posedness and regularity of the weak solution to the time fractional wave problem are firstly established. Then an optimal convergence analysis with nonsmooth data is derived. Moreover, several numerical experiments are presented to validate the theoretical results. |
| title | Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1901.02799 |