Design of convergence criterion for fixed stress split iterative scheme for small strain anisotropic poroelastoplasticity coupled with single phase flow

Abstract

We arrive at convergence criterion for the fixed stress split iterative scheme for single phase flow coupled with small strain anisotropic poroelastoplasticity. The analysis is based on studying the equations satisfied by the difference of iterates to show that the iterative scheme is contractive. The contractivity is based on driving a term to as small a value as possible (ideally zero). This condition is rendered as the convergence criterion of the algorithm.

arXiv admin note: substantial text overlap with arXiv:1810.04163

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Cited by in corpus (4)

• System of equations and staggered solution algorithm for immiscible two-phase flow coupled with linear poromechanics
• A machine learning accelerated FE${}^2$ homogenization algorithm for elastic solids
• Uncertainty Quantification in Friction Model for Earthquakes using Bayesian inference
• An efficient algorithm for numerical homogenization of fluid filled porous solids: part-I