TY - JOUR T1 - Approximations by Mini Mixed Finite Element for the Stokes-Darcy Coupled Problem on Curved Domains AU - Gabriela Armentano , María AU - Lorena Stockdale , María JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 203 EP - 234 PY - 2021 DA - 2021/03 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/18709.html KW - Stokes-Darcy problem, mixed finite elements, curved elements, stability analysis. AB -

In this work we solve a Stokes-Darcy coupled problem in a plane curved domain using curved elements. We approximate the velocity-pressure pair by applying the MINI-element method, for the whole coupled problem. We show that, under appropriate assumptions about the curved domain, the proposed method has optimal accuracy, with respect to solution regularity, and has a simple implementation. We also present numerical tests which show the good performance of the proposed method.