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040 _aCL-ChUAC
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_cCL-ChUAC
041 _aeng
_beng
_feng
245 1 0 _aRotation-based mixed formulations for an elasticity-poroelasticity interface problem
_cVerónica Anaya ; Zoa de Wijn ; Bryan Gómez-Vargas ; David Mora ; Ricardo Ruiz-Baier
336 _2rdacontent
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337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
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504 _aincluye referencia bibliográfica (B247-B249)
520 3 _aIn 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 _aElasticity-poroelasticity coupling
650 4 _aInterface problems
650 4 _aFredholm's alternative
650 4 _aMixed finite element method
650 4 _aError estimation
700 1 _aGómez Vargas, Bryan
_ecoautor
700 1 _aMora, David
_ecoautor
700 1 _aRuiz Baier, Ricardo
_ecoautor
700 1 _aAnaya, Verónica
_ecoautor
700 1 _aDe Wijn, Zoa
_ecoautor
773 0 _dFiladelfia, Pensilvania, Estados Unidos
_gVol. 42, No. 1, pp. B225--B249
_tSIAM Journal on Scientific Computing [artículo de revista]
856 4 1 _uhttp://bibliorepositorio.unach.cl/handle/BibUnACh/1813
942 _2ddc
_cAREV
999 _c2366471
_d2366471