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Volume 18, Issue 2
Approximations by Mini Mixed Finite Element for the Stokes-Darcy Coupled Problem on Curved Domains

María Gabriela Armentano & María Lorena Stockdale

Int. J. Numer. Anal. Mod., 18 (2021), pp. 203-234.

Published online: 2021-03

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  • 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.

  • Keywords

Stokes-Darcy problem, mixed finite elements, curved elements, stability analysis.

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COPYRIGHT: © Global Science Press

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@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} }
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.

María Gabriela Armentano & María Lorena Stockdale. (2021). Approximations by Mini Mixed Finite Element for the Stokes-Darcy Coupled Problem on Curved Domains. International Journal of Numerical Analysis and Modeling. 18 (2). 203-234. doi:
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