IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i10p2520-d358855.html
   My bibliography  Save this article

Analysis of Algorithm Efficiency for Heat Diffusion at Nanoscale Based on a MEMS Structure Investigation

Author

Listed:
  • Tomasz Raszkowski

    (Department of Microelectronics and Computer Science, Lodz University of Technology, 90-924 Lodz, Poland)

  • Mariusz Zubert

    (Department of Microelectronics and Computer Science, Lodz University of Technology, 90-924 Lodz, Poland)

Abstract

This paper presents an analysis of the time complexity of algorithms prepared for solving heat transfer problems at nanoscale. The first algorithm uses the classic Dual-Phase-Lag model, whereas the second algorithm employs a reduced version of the model obtained using a Krylov subspace method. This manuscript includes a description of the finite difference method approximation prepared for analysis of the real microelectromechanical system (MEMS) structure manufactured by the Polish Institute of Electron Technology. In addition, an approximation scheme of the model, as well as the Krylov subspace-based model order reduction technique are also described. The paper considers simulation results obtained using both investigated versions of the Dual-Phase-Lag model. Moreover, the relative error generated by the reduced model, as well as the computational complexity of both algorithms, and a convergence of the proposed approach are analyzed. Finally, all analyses are discussed in detail.

Suggested Citation

  • Tomasz Raszkowski & Mariusz Zubert, 2020. "Analysis of Algorithm Efficiency for Heat Diffusion at Nanoscale Based on a MEMS Structure Investigation," Energies, MDPI, vol. 13(10), pages 1-15, May.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:10:p:2520-:d:358855
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/10/2520/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/13/10/2520/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tomasz Raszkowski & Mariusz Zubert, 2020. "Investigation of Heat Diffusion at Nanoscale Based on Thermal Analysis of Real Test Structure," Energies, MDPI, vol. 13(9), pages 1-18, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Krzysztof Górecki & Krzysztof Posobkiewicz, 2022. "Cooling Systems of Power Semiconductor Devices—A Review," Energies, MDPI, vol. 15(13), pages 1-29, June.
    2. Mariusz Zubert & Zbigniew Kulesza & Mariusz Jankowski & Andrzej Napieralski, 2021. "Application of Scattering Parameters to DPL Time-Lag Parameter Estimation at Nanoscale in Modern Integration Circuit Structures," Energies, MDPI, vol. 14(15), pages 1-14, July.

    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. Krzysztof Górecki & Krzysztof Posobkiewicz, 2022. "Cooling Systems of Power Semiconductor Devices—A Review," Energies, MDPI, vol. 15(13), pages 1-29, June.
    2. Mariusz Zubert & Zbigniew Kulesza & Mariusz Jankowski & Andrzej Napieralski, 2021. "Application of Scattering Parameters to DPL Time-Lag Parameter Estimation at Nanoscale in Modern Integration Circuit Structures," Energies, MDPI, vol. 14(15), pages 1-14, July.

    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:gam:jeners:v:13:y:2020:i:10:p:2520-:d:358855. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.