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

2019/12/07 by Saumik Dana, Dana, Saumik, Mary F. Wheeler +1
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Contact Mechanics and Variational Inequalities #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1912.06476

openalex publication_date 2019/12/07 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

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

Citations

• deal.II—A general-purpose object-oriented finite element library
• The Elastic Coefficients of the Theory of Consolidation
• System of equations and staggered solution algorithm for immiscible two-phase flow coupled with linear poromechanics

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