Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem
محفوظ في:
| المؤلفون: | , , , , |
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| التنسيق: | artículo original |
| تاريخ النشر: | 2020 |
| الوصف: | In this paper we introduce a new formulation for the stationary poroelasticity equations written using the rotation vector and the total fluid-solid pressure as additional unknowns, and we also write an extension to the elasticity-poroelasticity problem. The transmission conditions are imposed naturally in the weak formulation, and the analysis of the effective governing equations is conducted by an application of Fredholm's alternative. We also propose a monolithically coupled mixed finite element method for the numerical solution of the problem. Its convergence properties are rigorously derived and subsequently confirmed by a set of computational tests that include applications to subsurface flow in reservoirs as well as to dentistry-oriented problems. |
| البلد: | Kérwá |
| المؤسسة: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| اللغة: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/86462 |
| الوصول للمادة أونلاين: | https://epubs.siam.org/doi/10.1137/19M1268343 https://hdl.handle.net/10669/86462 |
| كلمة مفتاحية: | Elasticity-poroelasticity coupling Interface problems Fredholm's alternative Mixed finite element method Error estimation |