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This work serves as a primer to our efforts in arriving at convergenceestimates for the fixed stress split iterative scheme for single phase flowcoupled with small strain anisotropic poroelastoplasticity. The fixed stresssplit iterative scheme solves the flow subproblem with stress tensor fixedusing a mixed finite element method, followed by the poromechanics subproblemusing a conforming Galerkin method in every coupling iteration at each timestep. The coupling iterations are repeated until convergence and Backward Euleris employed for time marching. The convergence analysis is based on studyingthe equations satisfied by the difference of iterates to show that theiterative scheme is contractive.

Convergence analysis of fixed stress split iterative scheme for small strain anisotropic poroelastoplasticity: a primer