Numerical approximation of linear parabolic evolution equations revisited
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917841085661184 |
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| author | Auestad, Øyvind Stormark |
| author_facet | Auestad, Øyvind Stormark |
| contents | We obtain rates of convergence of numerical approximations of abstract linear parabolic evolution equations in Banach spaces. Our estimates extend known results from the literature of finite element approximations of parabolic equations to more general equations and numerical approximation methods. As an example, we consider parabolic equations on surfaces and surface finite element approximations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02796 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical approximation of linear parabolic evolution equations revisited Auestad, Øyvind Stormark Numerical Analysis 35A24, 35A25, 35K15, 35K05, 65L60 We obtain rates of convergence of numerical approximations of abstract linear parabolic evolution equations in Banach spaces. Our estimates extend known results from the literature of finite element approximations of parabolic equations to more general equations and numerical approximation methods. As an example, we consider parabolic equations on surfaces and surface finite element approximations. |
| title | Numerical approximation of linear parabolic evolution equations revisited |
| topic | Numerical Analysis 35A24, 35A25, 35K15, 35K05, 65L60 |
| url | https://arxiv.org/abs/2406.02796 |