Iterative splitting schemes for a soft material poromechanics model

We address numerical solvers for a poromechanics model particularly adapted soft materials, as it generally respects thermodynamics principles and energy balance. Considering the multi-physics nature of problem, which involves solid fluid species, interacting on basis mass balance momentum conservation, we decide to adopt solution strategy discrete problem based iterative splitting schemes. As is similar (but not equivalent to) Biot follow abundant literature latter equations, developing two approaches that resemble well known undrained fixed-stress splits model. A thorough convergence analysis proposed schemes performed. In particular, undrained-like split developed analyzed in framework generalized gradient flows, whereas fixed-stress-like understood block-diagonal L2-type stabilization by means relative stability analysis. addition, application Anderson acceleration suggested, improving robustness Finally, test these methods different benchmark tests, also compare their performance with respect monolithic approach. Together theoretical analysis, examples provide guidelines appropriately choose what scheme shall be used realistic applications material