Pathwise uniform convergence of numerical approximations for a two-dimensional stochastic Navier-Stokes equation with no-slip boundary conditions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916605508714496 |
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| author | Li, Binjie Xie, Xiaoping Zhou, Qin |
| author_facet | Li, Binjie Xie, Xiaoping Zhou, Qin |
| contents | This paper investigates the pathwise uniform convergence in probability of fully discrete finite-element approximations for the two-dimensional stochastic Navier-Stokes equations with multiplicative noise, subject to no-slip boundary conditions. We demonstrate that the full discretization achieves nearly $ 3/2$-order convergence in space and nearly half-order convergence in time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04231 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pathwise uniform convergence of numerical approximations for a two-dimensional stochastic Navier-Stokes equation with no-slip boundary conditions Li, Binjie Xie, Xiaoping Zhou, Qin Numerical Analysis 65M15, 65C30, 60H15, 60H35 This paper investigates the pathwise uniform convergence in probability of fully discrete finite-element approximations for the two-dimensional stochastic Navier-Stokes equations with multiplicative noise, subject to no-slip boundary conditions. We demonstrate that the full discretization achieves nearly $ 3/2$-order convergence in space and nearly half-order convergence in time. |
| title | Pathwise uniform convergence of numerical approximations for a two-dimensional stochastic Navier-Stokes equation with no-slip boundary conditions |
| topic | Numerical Analysis 65M15, 65C30, 60H15, 60H35 |
| url | https://arxiv.org/abs/2412.04231 |