Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity
We 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 so...
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| LEADER | 00000nam a22000005a 4500 | ||
|---|---|---|---|
| 001 | 144-2019 | ||
| 003 | CL-ChUAC | ||
| 005 | 20250116140812.0 | ||
| 006 | m o d | | ||
| 007 | cr cn||||||||| | ||
| 008 | 210615s2019 fr |||||s|||| 000 ||eng d | ||
| 022 | |a 0764-583X | ||
| 022 | |a 1290-3841 | ||
| 040 | |a CL-ChUAC |b spa |c CL-ChUAC | ||
| 041 | |a eng |b eng |f eng | ||
| 245 | 1 | 0 | |a Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity |c Sarvesh Kumar ; Ricardo Oyarzua ; Ricardo Ruiz-Baier ; Ruchi Sandilya |
| 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 (páginas 25-27) | ||
| 520 | 3 | |a We 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 | |a Biot problem | |
| 650 | 4 | |a Discontinuous finite volume methods | |
| 650 | 4 | |a Mixed finite elements | |
| 650 | 4 | |a Locking-free approximations | |
| 650 | 4 | |a Conservative schemes | |
| 650 | 4 | |a Error estimates | |
| 700 | 1 | |a Kumar, Sarvesh |e coautor | |
| 700 | 1 | |a Oyarzúa, Ricardo |e coautor | |
| 700 | 1 | |a Ruiz Baier, Ricardo |e coautor | |
| 700 | 1 | |a Sandilya, Ruchi |e coautor | |
| 773 | 0 | |d Les Ulis, Francia |g August 2019 |t ESAIM Mathematical Modelling and Numerical Analysis [artículo de revista] | |
| 856 | 4 | 1 | |u https://repositoriobiblio.unach.cl/handle/123456789/1442 |
| 942 | |2 ddc |c AREV | ||
| 999 | |c 2366469 |d 2366469 | ||