Found 51 Documents (Results 1–51)
Convergence analysis of single rate and multirate fixed stress split iterative coupling schemes in heterogeneous poroelastic media. (English) Zbl 1535.65181
MSC:
65M60
65M06
65N30
47H10
76S05
74F10
74L05
74L10
74B10
86A05
35A15
76M10
76M20
74S05
74S20
35Q35
35Q74
An iterative decoupled algorithm with unconditional stability for Biot model. (English) Zbl 1509.65097
Reviewer: Bülent Karasözen (Ankara)
MSC:
65M60
65M06
65N30
65N45
65N15
65N12
76D07
76S05
74F10
74B10
76M10
76M20
74S05
74S20
35Q35
35Q74
Mandel’s problem as a benchmark for two-dimensional nonlinear poroelasticity. (English) Zbl 1504.35384
Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics. (English) Zbl 1484.76040
Using poro-elasticity to model the large deformation of tissue during subcutaneous injection. (English) Zbl 1506.74109
Iterative coupling for fully dynamic poroelasticity. (English) Zbl 1470.76048
Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 115-123 (2021).
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure. (English) Zbl 07379628
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. (English) Zbl 1524.76458
Modeling interactions of natural and two-phase fluid-filled fracture propagation in porous media. (English) Zbl 1461.76008
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. (English) Zbl 1469.65146
Reviewer: Marius Ghergu (Dublin)
Mathematical proof of the Mandel-Cryer effect in poroelasticity. (English) Zbl 1464.35344
Reviewer: Kaïs Ammari (Monastir)
PorePy: an open-source software for simulation of multiphysics processes in fractured porous media. (English) Zbl 1453.86001
A posteriori error estimates for Biot system using enriched Galerkin for flow. (English) Zbl 1506.76075
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. (English) Zbl 1451.74204
IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media. (English) Zbl 1442.74216
Convergence of the undrained split iterative scheme for coupling flow with geomechanics in heterogeneous poroelastic media. (English) Zbl 1434.76120
An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. (English) Zbl 1442.74208
Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. (English) Zbl 1524.76439
Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium. (English) Zbl 1443.65190
A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model. (English) Zbl 1442.65250
A biodegradable elastic stent model. (English) Zbl 07254371
MSC:
74-XX
An extended finite volume model for implicit cohesive zone fracture propagation in a poroelastic medium. (English) Zbl 1441.74287
Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. (English) Zbl 1419.74216
Multidomain mixed variational analysis of transport flow through elastoviscoplastic porous media. (English) Zbl 1418.35244
A splitting-based finite element method for the Biot poroelasticity system. (English) Zbl 1409.76057
Convergence analysis of fixed stress split iterative scheme for anisotropic poroelasticity with tensor Biot parameter. (English) Zbl 1406.65084
Optimal design of hydraulic fracturing in porous media using the phase field fracture model coupled with genetic algorithm. (English) Zbl 1405.76055
Comput. Geosci. 22, No. 3, 833-849 (2018); correction ibid. 22, No. 6, 1583 (2018).
A fully implicit and consistent finite element framework for modeling reservoir compaction with large deformation and nonlinear flow model. I: Theory and formulation. (English) Zbl 1405.86005
Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. (English) Zbl 1401.74084
A sequential discontinuous Galerkin method for the coupling of flow and geomechanics. (English) Zbl 1404.65162
Space-time finite element approximation of the Biot poroelasticity system with iterative coupling. (English) Zbl 1439.74389
Convergence and error analysis of fully discrete iterative coupling schemes for coupling flow with geomechanics. (English) Zbl 1396.76047
Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. (English) Zbl 1388.76140
Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics. (English) Zbl 1439.74183
Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model. (English) Zbl 1425.74419
Multirate undrained splitting for coupled flow and geomechanics in porous media. (English) Zbl 1387.76100
Karasözen, Bülent (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2015. Selected papers based on the presentations at the European conference, Ankara, Turkey, September 14–18, 2015. Cham: Springer (ISBN 978-3-319-39927-0/hbk; 978-3-319-39929-4/ebook). Lecture Notes in Computational Science and Engineering 112, 431-440 (2016).
MSC:
76S05
76M25
Iterative coupling of variational space-time methods for Biot’s system of poroelasticity. (English) Zbl 1387.76048
Karasözen, Bülent (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2015. Selected papers based on the presentations at the European conference, Ankara, Turkey, September 14–18, 2015. Cham: Springer (ISBN 978-3-319-39927-0/hbk; 978-3-319-39929-4/ebook). Lecture Notes in Computational Science and Engineering 112, 143-151 (2016).
A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. (English) Zbl 1317.74028
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