IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v363y2019ic10.html
   My bibliography  Save this article

A monolithic mixed finite element method for a fluid-structure interaction problem

Author

Listed:
  • Bean, Maranda
  • Yi, Son-Young

Abstract

We propose a numerical method for modeling the interaction of a Stokes fluid and a linear elastic solid. The model problem is expressed in the stress-displacement formulation for the linear elastodynamics in the solid region and the stress-velocity formulation for the Stokes equations in the fluid region. These two systems are coupled in such a way that the interface conditions are imposed naturally in the resulting weak formulation, which is based on the Hellinger–Reissner variational principle. For the time discretization, we use a three-level scheme for each time step, with an exception at the first time step. We provide a priori error analysis for fully-discrete, nonconforming mixed finite element methods and show some numerical results to confirm our theoretical results.

Suggested Citation

  • Bean, Maranda & Yi, Son-Young, 2019. "A monolithic mixed finite element method for a fluid-structure interaction problem," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:363:y:2019:i:c:10
    DOI: 10.1016/j.amc.2019.124615
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319306071
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.124615?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Unknown, 2008. "Recommendations Of The European Project," Economics of Agriculture, Institute of Agricultural Economics, vol. 55(1).
    2. Anonymous, 2008. "The UNESCO Parsi Zoroastrian Project," Working Papers id:1517, eSocialSciences.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ian Fillis & Ruth Rentschler, 2010. "The Role Of Creativity In Entrepreneurship," Journal of Enterprising Culture (JEC), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 49-81.
    2. M. Reza Shaebani & Tamás Unger & János Kertész, 2009. "Generation Of Homogeneous Granular Packings: Contact Dynamics Simulations At Constant Pressure Using Fully Periodic Boundaries," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(06), pages 847-867.
    3. Florian Pallas & Florian Böckermann & Oliver Goetz & Kirstin Tecklenburg, 2013. "Investigating Organisational Innovativeness: Developing A Multidimensional Formative Measure," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1-41.
    4. Fei Xiong & Yun Liu & Zhenjiang Zhang, 2011. "Dynamics With Co-Evolution Of Individual Inclination And Opinion," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 51-62.
    5. Stephanie C. Schleimer & Arthur D. Shulman, 2011. "When Intra-Firm And Inter-Firm Collaborations Co-Occur: Comparing Their Impact Across New Services Versus New Product Innovations," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 869-898.
    6. Lizhong Yang & Shaobo Liu & Jian Li & Kongjin Zhu & Tingyong Fang, 2009. "Information-Based Evacuation Experiment And Its Cellular Automaton Simulation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(10), pages 1583-1596.
    7. Zhang, Qi & Tezuka, Tetsuo & Ishihara, Keiichi N. & Mclellan, Benjamin C., 2012. "Integration of PV power into future low-carbon smart electricity systems with EV and HP in Kansai Area, Japan," Renewable Energy, Elsevier, vol. 44(C), pages 99-108.
    8. S.A. Adebisi & R. Oyedeji & O. Azeez, 2015. "Boko Haram Insurgency in Nigeria: Defining, Addressing and Understanding its Impact on Telecommunication Industry," Economics and Management Research Projects: An International Journal, Open Access International Journals, vol. 5(1), pages 10-17, December.
    9. Fuchs Doris & Kalfagianni Agni, 2010. "The Causes and Consequences of Private Food Governance," Business and Politics, De Gruyter, vol. 12(3), pages 1-36, October.
    10. Zasada Ingo & Loibl Wolfgang & Köstl Mario & Piorr Annette, 2013. "Agriculture Under Human Influence: A Spatial Analysis of Farming Systems and Land Use in European Rural-Urban-Regions," European Countryside, Sciendo, vol. 5(1), pages 71-88, January.
    11. Wei Li & Ming J. Zuo & Ramin Moghaddass, 2011. "Optimal Design Of A Multi-State Weighted Series-Parallel System Using Physical Programming And Genetic Algorithms," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(04), pages 543-562.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:363:y:2019:i:c:10. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.