A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913671904493568 |
|---|---|
| author | Lu, Peipei Maier, Roland Rupp, Andreas |
| author_facet | Lu, Peipei Maier, Roland Rupp, Andreas |
| contents | We formulate and analyze a multiscale method for an elliptic problem with an oscillatory coefficient based on a skeletal (hybrid) formulation. More precisely, we employ hybrid discontinuous Galerkin approaches and combine them with the localized orthogonal decomposition methodology to obtain a coarse-scale skeletal method that effectively includes fine-scale information. This work is the first step in reliably merging hybrid skeletal formulations and localized orthogonal decomposition to unite the advantages of both strategies. Numerical experiments are presented to illustrate the theoretical findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_14961 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods Lu, Peipei Maier, Roland Rupp, Andreas Numerical Analysis 65N12, 65N30 We formulate and analyze a multiscale method for an elliptic problem with an oscillatory coefficient based on a skeletal (hybrid) formulation. More precisely, we employ hybrid discontinuous Galerkin approaches and combine them with the localized orthogonal decomposition methodology to obtain a coarse-scale skeletal method that effectively includes fine-scale information. This work is the first step in reliably merging hybrid skeletal formulations and localized orthogonal decomposition to unite the advantages of both strategies. Numerical experiments are presented to illustrate the theoretical findings. |
| title | A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods |
| topic | Numerical Analysis 65N12, 65N30 |
| url | https://arxiv.org/abs/2307.14961 |