Strong convergence of finite element approximations for a fourth-order stochastic pseudo-parabolic equation with additive noise
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914380386402304 |
|---|---|
| author | Bhar, Suprio Biswas, Mrinmay Prasad, Mangala |
| author_facet | Bhar, Suprio Biswas, Mrinmay Prasad, Mangala |
| contents | In this article, we analyze semi-discrete finite element approximation and full discretization of a fourth-order stochastic pseudo-parabolic equation in a bounded convex polygonal domain driven by additive Wiener noise. We use the finite element method for spatial discretization and the semi-implicit method for temporal discretization, and obtain strong convergence rates with respect to both the spatial and temporal mesh sizes. Numerical experiments are presented to support the theoretical convergence rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08453 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong convergence of finite element approximations for a fourth-order stochastic pseudo-parabolic equation with additive noise Bhar, Suprio Biswas, Mrinmay Prasad, Mangala Numerical Analysis Mathematical Physics Analysis of PDEs Probability 60H15, 65N30, 65M60, 60H35, 65C30 In this article, we analyze semi-discrete finite element approximation and full discretization of a fourth-order stochastic pseudo-parabolic equation in a bounded convex polygonal domain driven by additive Wiener noise. We use the finite element method for spatial discretization and the semi-implicit method for temporal discretization, and obtain strong convergence rates with respect to both the spatial and temporal mesh sizes. Numerical experiments are presented to support the theoretical convergence rates. |
| title | Strong convergence of finite element approximations for a fourth-order stochastic pseudo-parabolic equation with additive noise |
| topic | Numerical Analysis Mathematical Physics Analysis of PDEs Probability 60H15, 65N30, 65M60, 60H35, 65C30 |
| url | https://arxiv.org/abs/2509.08453 |