Convergence of iterative coupling for coupled flow and geomechanics

By Andro Mikelić, Mary F. Wheeler. Computational Geosciences, 2013

320 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/905e374da4d1ca3ff241148ce952df98531f67a8

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In Computational Mechanics

In Control and Systems Engineering

Citations in the corpus

On the optimization of the fixed‐stress splitting for Biot's equations (2018, unknown): “minimizer of rate(δ) is δ = min { A 2B , 2 } ∈ (1, 2] , (24)”
Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics (2016, methodology): “We introduce the modified multirate iterative coupling algorithm which results in Banach contraction on the volumetric mean total stress as defined by Mikelić and Wheeler [18] for the single rate fixed stress split iterative method.”
A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach (2015, methodology): “This coupled system is solved with a fixed-stress iteration [18, 19] in which the pressure equation and elasticity equation are solved sequentially.”
Accuracy and convergence properties of the fixed‐stress iterative solution of two‐way coupled poromechanics (2015, background): “Unconditional stability and convergence of the scheme have been mathematically proved [32, 34], but the practical performance of the scheme is still the subject of investigation [35].”
Convergence analysis of two-grid fixed stress split iterative scheme for coupled flow and deformation in heterogeneous poroelastic media (2018, background): “F. Wheeler) 1.”
On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics (2017, methodology): “In addition, stability and convergence of the fixed-stress split method have been rigorously established in [8].”