000			02400nam a22003855a 4500
001			144-2019
003			CL-ChUAC
005			20210615153010.0
006			m o d |
007			cr cn|||||||||
008			210615s2019 fr |||||s|||| 000 ||eng d
022			_a0764-583X
022			_a1290-3841
040			_aCL-ChUAC _bspa _cCL-ChUAC
041			_aeng _beng _feng
245	1	0	_aConservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity _cSarvesh Kumar ; Ricardo Oyarzua ; Ricardo Ruiz-Baier ; Ruchi Sandilya
336			_2rdacontent _atext _btxt
337			_2rdamedia _aunmediated _bn
338			_2rdacarrier _avolume _bnc
504			_aincluye referencia bibliográfica (páginas 25-27)
520	3		_aWe introduce a numerical method for the approximation of linear poroelasticity equations, representing the interaction between the non-viscous filtration flow of a fluid and the linear mechanical response of a porous medium. In the proposed formulation, the primary variables in the system are the solid displacement, the fluid pressure, the fluid flux, and the total pressure. A discontinuous finite volume method is designed for the approximation of solid displacement using a dual mesh, whereas a mixed approach is employed to approximate fluid flux and the two pressures. We focus on the stationary case and the resulting discrete problem exhibits a double saddle-point structure. Its solvability and stability are established in terms of bounds (and of norms) that do not depend on the modulus of dilation of the solid. We derive optimal error estimates in suitable norms, for all field variables; and we exemplify the convergence and locking-free properties of this scheme through a series of numerical tests.
650		4	_aBiot problem
650		4	_aDiscontinuous finite volume methods
650		4	_aMixed finite elements
650		4	_aLocking-free approximations
650		4	_aConservative schemes
650		4	_aError estimates
700	1		_aKumar, Sarvesh _ecoautor
700	1		_aOyarzúa, Ricardo _ecoautor
700	1		_aRuiz Baier, Ricardo _ecoautor
700	1		_aSandilya, Ruchi _ecoautor
773	0		_dLes Ulis, Francia _gAugust 2019 _tESAIM Mathematical Modelling and Numerical Analysis [artículo de revista]
856	4	1	_uhttp://bibliorepositorio.unach.cl/handle/BibUnACh/1812
942			_2ddc _cAREV
999			_c2366469 _d2366469