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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

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Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas

A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. (English) Zbl 1317.74028

Multiscale Model. Simul. 13, No. 1, 367-398 (2015).

MSC: 74F10 74S05 76S05 35Q86 74A45

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Mikelić, Andro; Wheeler, Mary F.

Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system. (English) Zbl 1331.35283

J. Math. Phys. 53, No. 12, 123702, 15 p. (2012).

MSC: 35Q35 35B27 35B30

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Found 18 Documents (Results 1–18)

Convergence analysis of single rate and multirate fixed stress split iterative coupling schemes in heterogeneous poroelastic media. (English) Zbl 1535.65181

Performance studies of the fixed stress split algorithm for immiscible two-phase flow coupled with linear poromechanics. (English) Zbl 1484.76040

Modeling interactions of natural and two-phase fluid-filled fracture propagation in porous media. (English) Zbl 1461.76008

A posteriori error estimates for Biot system using enriched Galerkin for flow. (English) Zbl 1506.76075

Three-way coupling of multiphase flow and poromechanics in porous media. (English) Zbl 1453.76080

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

Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium. (English) Zbl 1443.65190

Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. (English) Zbl 1419.74216

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

Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. (English) Zbl 1401.74084

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

A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. (English) Zbl 1317.74028

Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system. (English) Zbl 1331.35283

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