2018/02/03 by Manuel Borregales, Kundan Kumar, Borregales, Manuel +7
Engineering · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #Rock Mechanics and Modeling
paper · pdf · doi:10.48550/arxiv.1802.00949
openalex publication_date 2018/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we study the parallel-in-time iterative solution of coupled flow and geomechanics in porous media, modelled by a two-field formulation of the Biot's equations. In particular, we propose a new version of the fixed stress splitting method, which has been widely used as solution method of these problems. This new approach forgets about the sequential nature of the temporal variable and considers the time direction as a further direction for parallelization. We present a rigorous convergence analysis of the method and a numerical experiment to demonstrate the robust behaviour of the algorithm.