@Article{IJNAM-18-203, author = {Gabriela Armentano , María and Lorena Stockdale , María}, title = {Approximations by Mini Mixed Finite Element for the Stokes-Darcy Coupled Problem on Curved Domains}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2021}, volume = {18}, number = {2}, pages = {203--234}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/18709.html} }