Rotation-based mixed formulations for an elasticity-poroelasticity interface problem
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 natur...
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| Online toegang: | https://repositoriobiblio.unach.cl/handle/123456789/1443 |
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| LEADER | 00000nam a22000005a 4500 | ||
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| 001 | 145-2020 | ||
| 003 | CL-ChUAC | ||
| 005 | 20250113150647.0 | ||
| 006 | m o d | | ||
| 007 | cr cn||||||||| | ||
| 008 | 210615s2020 xxu|||||s|||| 000 ||eng d | ||
| 040 | |a CL-ChUAC |b spa |c CL-ChUAC | ||
| 041 | |a eng |b eng |f eng | ||
| 245 | 1 | 0 | |a Rotation-based mixed formulations for an elasticity-poroelasticity interface problem |c Verónica Anaya ; Zoa de Wijn ; Bryan Gómez-Vargas ; David Mora ; Ricardo Ruiz-Baier |
| 336 | |2 rdacontent |a text |b txt | ||
| 337 | |2 rdamedia |a unmediated |b n | ||
| 338 | |2 rdacarrier |a volume |b nc | ||
| 504 | |a incluye referencia bibliográfica (B247-B249) | ||
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Elasticity-poroelasticity coupling | |
| 650 | 4 | |a Interface problems | |
| 650 | 4 | |a Fredholm's alternative | |
| 650 | 4 | |a Mixed finite element method | |
| 650 | 4 | |a Error estimation | |
| 700 | 1 | |a Gómez Vargas, Bryan |e coautor | |
| 700 | 1 | |a Mora, David |e coautor | |
| 700 | 1 | |a Ruiz Baier, Ricardo |e coautor | |
| 700 | 1 | |a Anaya, Verónica |e coautor | |
| 700 | 1 | |a De Wijn, Zoa |e coautor | |
| 773 | 0 | |d Filadelfia, Pensilvania, Estados Unidos |g Vol. 42, No. 1, pp. B225--B249 |t SIAM Journal on Scientific Computing [artículo de revista] | |
| 856 | 4 | 1 | |u https://repositoriobiblio.unach.cl/handle/123456789/1443 |
| 942 | |2 ddc |c AREV | ||
| 999 | |c 2366471 |d 2366471 | ||