Year: 2021
Author: María Gabriela Armentano, María Lorena Stockdale
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2021-IJNAM-18709
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 2 : pp. 203–234
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 32
Keywords: Stokes-Darcy problem mixed finite elements curved elements stability analysis.